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Finding the Third Proportional to 15,471 and 34,452

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Solution

The third proportional to 15,471 and 34,452 is: 76,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471 : 34,452 = 34,452 : x
  2. Step 2: Convert to fraction form
    15,471/34,452 = 34,452/x
  3. Step 3: Cross multiply
    15,471x = 34,452 × 34,452
  4. Step 4: Simplify right side
    15,471x = 1,186,940,304
  5. Step 5: Solve for x
    x = 1,186,940,304/15,471
  6. Step 6: Final answer
    x = 76,720.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.