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Finding the Third Proportional to 17,744 and 38,624

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Solution

The third proportional to 17,744 and 38,624 is: 84,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744 : 38,624 = 38,624 : x
  2. Step 2: Convert to fraction form
    17,744/38,624 = 38,624/x
  3. Step 3: Cross multiply
    17,744x = 38,624 × 38,624
  4. Step 4: Simplify right side
    17,744x = 1,491,813,376
  5. Step 5: Solve for x
    x = 1,491,813,376/17,744
  6. Step 6: Final answer
    x = 84,074.24

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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.