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Finding the Third Proportional to 38,678 and 61,542

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Solution

The third proportional to 38,678 and 61,542 is: 97,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,678 : 61,542 = 61,542 : x
  2. Step 2: Convert to fraction form
    38,678/61,542 = 61,542/x
  3. Step 3: Cross multiply
    38,678x = 61,542 × 61,542
  4. Step 4: Simplify right side
    38,678x = 3,787,417,764
  5. Step 5: Solve for x
    x = 3,787,417,764/38,678
  6. Step 6: Final answer
    x = 97,921.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.