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Finding the Third Proportional to 31,272 and 67,472

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Solution

The third proportional to 31,272 and 67,472 is: 145,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,272 : 67,472 = 67,472 : x
  2. Step 2: Convert to fraction form
    31,272/67,472 = 67,472/x
  3. Step 3: Cross multiply
    31,272x = 67,472 × 67,472
  4. Step 4: Simplify right side
    31,272x = 4,552,470,784
  5. Step 5: Solve for x
    x = 4,552,470,784/31,272
  6. Step 6: Final answer
    x = 145,576.58

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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.