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B and C are the centers of two circles that touch each other externally. A is a point on the circumference of circle C. Segment AB has a le…

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B and C are the centers of two circles that touch each other externally. A is a point on the circumference of circle C. Segment AB has a length of $24 \sqrt{3}$ and segment AB is tangent to circle C. What are the two radii of circles B and C?   

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