Dellacqua and world No. 1 Serena Williams were among the winners during the day at the Australian Open as the temperature in Melbourne again surpassed 40-degrees for the fifth successive day before the cool change came in.
Other women's third round winners so on Friday were German ninth-seed Angelique Kerber, China's world No. 4 Li Na, Italian veteran Flavia Pennetta, Russian 22nd-seed Ekaterina Makarova and rising Canadian star Eugenie Bouchard.
The day's action at the Australian Open on Friday began on Rod Laver Arena with world No. 1 and raging favourite Williams taking on 30-year-old Slovak 31st-seed Daniela Hantuchova.
Despite her ominous form having won the Brisbane International and then not dropping a set in her first two rounds in Melbourne, no way was Williams going to take Hantuchova lightly given she was eliminated by her in the same round at the 2006 Australian Open in straight-sets.
And Williams' dominant form continued as she looks to win the Australian Open for a sixth time, first time since 2010 and her 18th Grand Slam title overall.
The 32-year-old American was barely troubled cruising to the 6-3, 6-3 victory to set up a fourth round battle with Serbia's Ivanovic.
The next women's third round match up on Rod Laver Arena was the first Australian of the day in action when Dellacqua took on China's world No. 56 Jie Zheng.
And the Australian left-hander continued her hot form coming off beating former world No. 2 Vera Zvonareva and 18th-seed Kirsten Flipkens in straight-sets, to race through the first set against her Chinese opponent.
Dellacqua was then cruising up 4-3 in the second set before the heat got to Zheng and she took an injury time-out, where she got some time to lay down, had her blood pressure taken and ice rubbed over her to try to bring her body temperature.
It seemed to do the trick as she immediately broke Dellacqua's serve, but the Australian returned the favour straight away and then served out the match to win 6-2, 6-4.
Remarkably, Dellacqua has now not lost a set on her way into the fourth round in her best Grand Slam performance since 2008.
The 28-year-old West Australian will now face rising Canadian star Eugenie Bouchard in the fourth round as she attempts to make a Grand Slam quarter-final for the first time in her career.
The 30th-seed Bouchard advanced into the fourth round by beating American Lauren Davis on Court 3, 6-2, 6-2.
Meanwhile, women's third round action began on Hisense Arena with ninth-seeded German Angelique Kerber taking on emerging American Alison Riske.
However, the 25-year-old German had little trouble winning 6-3, 6-4 to advance to the fourth round in what is already her best performance at the Australian Open just a day out from her 26th birthday.
Up next on Hisense Arena was China's world No. 4 and two-time Australian Open runner-up Li Na taking on talented Czech left-hander Lucie Safarova, and it was the 26th-seed who got the jump.
Safarova dominated the first set winning it 6-1 before the 31-year-old Li Na steadied to win the second in the tie-break, and then comfortably win the third to claim the match 1-6, 7-6 (2), 6-3.
Another veteran, Italian 28th-seed Flavia Pennetta continued her career renaissance on Margaret Court Arena advancing to the fourth round by beating Germany's Mona Barthel 6-1, 7-5.
The 31-year-old Pennetta is coming off a semi-final appearance at last year's US Open and will now look to back that up with an Australian Open quarter-final berth when she takes on Kerber in the fourth round.
On Court 2, Russian 22nd-seed Ekaterina Makarova also advanced to the fourth round in straight-sets beating Romania's Monica Niculescu 6-4, 6-4.
The final women's Round 3 clash on Friday then took place on Rod Laver Arena when Australia's former world No. 4 Stosur and Serbia ex-world No. 1 Ivanovic did battle with a clash with Serena Williams the reward for the victor.
Stosur got off to a good start in a gruelling first set that went all the way to the tie-break, and eventually the Australian prevailed eight points to six.
However, as so often has happened to the 29-year-old when playing in Australia, she couldn’t convert that good start into victory and lost the next two sets as Ivanovic moved into the Round of 16 with the 6-7 (8), 6-4, 6-2 win.
The difference in the finish was Ivanovic's willingness to go for her shots more than Stosur.
Even though that meant that Ivanovic hit 40 unforced errors compared to 30 from Stosur, she did manage to hit 46 clean winners compared to just 21 from Stosur.
Stosur's serve also again let her down under pressure as she was broken throughout the night four times and only able to break Ivanovic's serve once.