Long story short, that 8-inch section of the dance pad's cord that comes off. . .I need a new one.  Is that something that is only used for Konami's dance pads or is that a standard type of converter?  I don't want to buy a whole new pad.

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I'd rather lose with E.Honda than win with Sagat!

Here you go
You just need a 360 break-away/extension cable. Make sure it's the 360 version, you'll need that USB tip.

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Only the elements time cannot wear were forged before me, and beyond time I stand. Post provided "as is"; confers no rights!