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Finding the Third Proportional to 31,864.50 and 67,374

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Solution

The third proportional to 31,864.50 and 67,374 is: 142,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864.50 : 67,374 = 67,374 : x
  2. Step 2: Convert to fraction form
    31,864.50/67,374 = 67,374/x
  3. Step 3: Cross multiply
    31,864.50x = 67,374 × 67,374
  4. Step 4: Simplify right side
    31,864.50x = 4,539,255,876
  5. Step 5: Solve for x
    x = 4,539,255,876/31,864.50
  6. Step 6: Final answer
    x = 142,454.95

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.