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Finding the Third Proportional to 42,397 and 62,331

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Solution

The third proportional to 42,397 and 62,331 is: 91,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,397 : 62,331 = 62,331 : x
  2. Step 2: Convert to fraction form
    42,397/62,331 = 62,331/x
  3. Step 3: Cross multiply
    42,397x = 62,331 × 62,331
  4. Step 4: Simplify right side
    42,397x = 3,885,153,561
  5. Step 5: Solve for x
    x = 3,885,153,561/42,397
  6. Step 6: Final answer
    x = 91,637.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.