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Finding the Third Proportional to 31,522 and 67,940

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Solution

The third proportional to 31,522 and 67,940 is: 146,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,522 : 67,940 = 67,940 : x
  2. Step 2: Convert to fraction form
    31,522/67,940 = 67,940/x
  3. Step 3: Cross multiply
    31,522x = 67,940 × 67,940
  4. Step 4: Simplify right side
    31,522x = 4,615,843,600
  5. Step 5: Solve for x
    x = 4,615,843,600/31,522
  6. Step 6: Final answer
    x = 146,432.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.