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Finding the Third Proportional to 24,624 and 38,578

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Solution

The third proportional to 24,624 and 38,578 is: 60,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,624 : 38,578 = 38,578 : x
  2. Step 2: Convert to fraction form
    24,624/38,578 = 38,578/x
  3. Step 3: Cross multiply
    24,624x = 38,578 × 38,578
  4. Step 4: Simplify right side
    24,624x = 1,488,262,084
  5. Step 5: Solve for x
    x = 1,488,262,084/24,624
  6. Step 6: Final answer
    x = 60,439.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.