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Thats the thing brah...I don't have her number yet or else I would call her up in a heartbeat. How do I transition that conversation into getting her number and hanging out with her?
By saying: hey, i wanna hang out with you on thursday/whatever-day-you-are-available.
there is no transition. You can transition till she gets married with a dude who actually just stated what he wants

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Getting the number is a formality to make it happen.
At a sidenote: I like the comment of FCgame. He nailed a very good point.
good luck!