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Finding the Third Proportional to 31,347 and 67,554

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Solution

The third proportional to 31,347 and 67,554 is: 145,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347 : 67,554 = 67,554 : x
  2. Step 2: Convert to fraction form
    31,347/67,554 = 67,554/x
  3. Step 3: Cross multiply
    31,347x = 67,554 × 67,554
  4. Step 4: Simplify right side
    31,347x = 4,563,542,916
  5. Step 5: Solve for x
    x = 4,563,542,916/31,347
  6. Step 6: Final answer
    x = 145,581.49

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Why These Related Problems?

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