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Finding the Third Proportional to 15,874 and 34,663

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Solution

The third proportional to 15,874 and 34,663 is: 75,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874 : 34,663 = 34,663 : x
  2. Step 2: Convert to fraction form
    15,874/34,663 = 34,663/x
  3. Step 3: Cross multiply
    15,874x = 34,663 × 34,663
  4. Step 4: Simplify right side
    15,874x = 1,201,523,569
  5. Step 5: Solve for x
    x = 1,201,523,569/15,874
  6. Step 6: Final answer
    x = 75,691.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.