How would it feel to be hoisted into the air by a total stranger? One day this fall, Cy Sharp, a single mother and events manager living in Los Angeles, wrapped her mind — and body — around that question while she rehearsed with the choreographer Travis Wall. Their very first meeting is a dance. Sharp, 42, said in a recent phone interview, recalling that moment. Modified slightly for American audiences, the show is based on a British series of the same name, now in its second season on Channel 4. Still, in the American version, there is an element of competition: One person searching for love dances with two potential matches — a different duet with each — and chooses one partner to see again. The British version, more straightforward, pairs two people who can decide to show up for a second date, or not.