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Finding the Third Proportional to 39,188 and 58,542

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Solution

The third proportional to 39,188 and 58,542 is: 87,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,188 : 58,542 = 58,542 : x
  2. Step 2: Convert to fraction form
    39,188/58,542 = 58,542/x
  3. Step 3: Cross multiply
    39,188x = 58,542 × 58,542
  4. Step 4: Simplify right side
    39,188x = 3,427,165,764
  5. Step 5: Solve for x
    x = 3,427,165,764/39,188
  6. Step 6: Final answer
    x = 87,454.47

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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.