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Finding the Third Proportional to 62.47 and 93.71

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Solution

The third proportional to 62.47 and 93.71 is: 140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.47 : 93.71 = 93.71 : x
  2. Step 2: Convert to fraction form
    62.47/93.71 = 93.71/x
  3. Step 3: Cross multiply
    62.47x = 93.71 × 93.71
  4. Step 4: Simplify right side
    62.47x = 8,780.76
  5. Step 5: Solve for x
    x = 8,780.76/62.47
  6. Step 6: Final answer
    x = 140.56

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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.