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Finding the Third Proportional to 38,662 and 59,863

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Solution

The third proportional to 38,662 and 59,863 is: 92,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662 : 59,863 = 59,863 : x
  2. Step 2: Convert to fraction form
    38,662/59,863 = 59,863/x
  3. Step 3: Cross multiply
    38,662x = 59,863 × 59,863
  4. Step 4: Simplify right side
    38,662x = 3,583,578,769
  5. Step 5: Solve for x
    x = 3,583,578,769/38,662
  6. Step 6: Final answer
    x = 92,689.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.