Connect an Apple 24" LED Cinema Display to a PC

Not directly, It only has a Display port connector on it, so you will need an adapter... unless you have one of the rare computers that has it.

Just found this

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I know when it came out it was impossible to connect it to anything other than MacBooks that had mini DisplayPorts. I don't think there are a lot of PCs with mini DisplayPorts out there; it might be kind of hard.