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Finding the Third Proportional to 24,594 and 38,107

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Solution

The third proportional to 24,594 and 38,107 is: 59,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594 : 38,107 = 38,107 : x
  2. Step 2: Convert to fraction form
    24,594/38,107 = 38,107/x
  3. Step 3: Cross multiply
    24,594x = 38,107 × 38,107
  4. Step 4: Simplify right side
    24,594x = 1,452,143,449
  5. Step 5: Solve for x
    x = 1,452,143,449/24,594
  6. Step 6: Final answer
    x = 59,044.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.