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Finding the Third Proportional to 12,397 and 25,398

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Solution

The third proportional to 12,397 and 25,398 is: 52,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397 : 25,398 = 25,398 : x
  2. Step 2: Convert to fraction form
    12,397/25,398 = 25,398/x
  3. Step 3: Cross multiply
    12,397x = 25,398 × 25,398
  4. Step 4: Simplify right side
    12,397x = 645,058,404
  5. Step 5: Solve for x
    x = 645,058,404/12,397
  6. Step 6: Final answer
    x = 52,033.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.