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Finding the Third Proportional to 24,624 and 38,198

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Solution

The third proportional to 24,624 and 38,198 is: 59,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,624 : 38,198 = 38,198 : x
  2. Step 2: Convert to fraction form
    24,624/38,198 = 38,198/x
  3. Step 3: Cross multiply
    24,624x = 38,198 × 38,198
  4. Step 4: Simplify right side
    24,624x = 1,459,087,204
  5. Step 5: Solve for x
    x = 1,459,087,204/24,624
  6. Step 6: Final answer
    x = 59,254.68

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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.