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Finding the Third Proportional to 11,624 and 17,452

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Solution

The third proportional to 11,624 and 17,452 is: 26,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624 : 17,452 = 17,452 : x
  2. Step 2: Convert to fraction form
    11,624/17,452 = 17,452/x
  3. Step 3: Cross multiply
    11,624x = 17,452 × 17,452
  4. Step 4: Simplify right side
    11,624x = 304,572,304
  5. Step 5: Solve for x
    x = 304,572,304/11,624
  6. Step 6: Final answer
    x = 26,202.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.