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Finding the Third Proportional to 39,472 and 58,748

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Solution

The third proportional to 39,472 and 58,748 is: 87,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,472 : 58,748 = 58,748 : x
  2. Step 2: Convert to fraction form
    39,472/58,748 = 58,748/x
  3. Step 3: Cross multiply
    39,472x = 58,748 × 58,748
  4. Step 4: Simplify right side
    39,472x = 3,451,327,504
  5. Step 5: Solve for x
    x = 3,451,327,504/39,472
  6. Step 6: Final answer
    x = 87,437.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.