Skipper Klinger (50) and Harris (56) shared an 81-ball 112-run opening partnership to set the foundation for the successful run-chase as South Australia reached the target with three balls to spare and inched closer to the semifinal berth.
Scorecard | CLT20
Earlier, Mumbai Indians recovered from a shaky start to post a challenging 180 for seven, courtesy a solid batting display by Saurabh Tiwary (44), Ambati Rayudu (38) and Kieron Pollard (36).
Mumbai Indians paid the price for their sloppy fielding and pathetic bowling to succumb to their second defeat in as many matches and now stands on the brink of elimination.
Images: AP & AFP
In Image: South Australian Redbacks batsmen Cameron Borgas and Tom Cooper celebrate after their victory