Holmund was rewarded for her uphill battle to make Sochi after coming back from tearing a patellar ligament in her knee in January 2013.
“It was really, really hard. It was a very serious injury so to win bronze is insane,” said the 26-year-old Swede.
“It was the Olympic Games that helped me to come back. If it wasn’t for the Olympic Games then I probably wouldn’t be skiing anymore.”
Thompson, the 21-year-old Olympic debutant, led from the start to pip compatriot and X Games champion Kelsey Serwa.
The two podium finishes capped a superb Winter Games for the Canadian freestyle skiing team, who topped the medal table with four golds, four silvers and a bronze.
“It’s crazy. I don’t think it’s even sunk in yet,” said Thompson.
“I’m so so happy to be up there with Kelsey (Serwa), we’re just having fun all day. I know Kelsey and I tried to help each other all the way down the course.”
Meanwhile, world champion Fanny Smith of Switzerland could only make the small final, before finishing a disappointing eighth.
Samsung are a proud partner of Team GB and are supporting the Samsung Galaxy Team. To meet the team, see exclusive content and win amazing prizes, including once-in-a-lifetime winter sport training sessions with the Samsung Galaxy Team athletes, visit: www.samsung.com/uk/sochi2014
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BIOGRAPHY: Ethan Hazard
BIOGRAPHY: Daniel Sturridge