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Finding the Third Proportional to 39,432 and 59,004

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Solution

The third proportional to 39,432 and 59,004 is: 88,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,432 : 59,004 = 59,004 : x
  2. Step 2: Convert to fraction form
    39,432/59,004 = 59,004/x
  3. Step 3: Cross multiply
    39,432x = 59,004 × 59,004
  4. Step 4: Simplify right side
    39,432x = 3,481,472,016
  5. Step 5: Solve for x
    x = 3,481,472,016/39,432
  6. Step 6: Final answer
    x = 88,290.53

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