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Finding the Third Proportional to 39,232.50 and 58,936.50

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Solution

The third proportional to 39,232.50 and 58,936.50 is: 88,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,232.50 : 58,936.50 = 58,936.50 : x
  2. Step 2: Convert to fraction form
    39,232.50/58,936.50 = 58,936.50/x
  3. Step 3: Cross multiply
    39,232.50x = 58,936.50 × 58,936.50
  4. Step 4: Simplify right side
    39,232.50x = 3,473,511,032.25
  5. Step 5: Solve for x
    x = 3,473,511,032.25/39,232.50
  6. Step 6: Final answer
    x = 88,536.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.