In triangle $ABC,$ $BC = 32,$ $\tan B = \frac{3}{2},$ and $\tan C = \frac{1}{2}.$  Find the area of the triangle.
Question:
In triangle $ABC,$ $BC = 32,$ $\tan B = \frac{3}{2},$ and $\tan C = \frac{1}{2}.$  Find the area of the triangle.
Answer:
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In triangle $ABC,$ $BC = 32,$ $\tan B = \frac{3}{2},$ and $\tan C = \frac{1}{2}.$  Find the area of the triangle.
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