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In the above diagram, line segment PT‾\overline{PT}PT is tangent to both circle OOO and circle O′.O'.O′. Given the following three lengths: ∣AB‾∣=35,∣PC‾∣=30,∣CD‾∣=20,\lvert\overline{AB}\rvert = 35, \lvert\overline{PC}\rvert = 30, \lvert\overline{CD}\rvert = 20,∣AB∣=35,∣PC∣=30,∣CD∣=20, what is ∣PA‾∣?\lvert\overline{PA}\rvert?∣PA∣?
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