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Finding the Third Proportional to 24,914.25 and 38,616.75

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Solution

The third proportional to 24,914.25 and 38,616.75 is: 59,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914.25 : 38,616.75 = 38,616.75 : x
  2. Step 2: Convert to fraction form
    24,914.25/38,616.75 = 38,616.75/x
  3. Step 3: Cross multiply
    24,914.25x = 38,616.75 × 38,616.75
  4. Step 4: Simplify right side
    24,914.25x = 1,491,253,380.56
  5. Step 5: Solve for x
    x = 1,491,253,380.56/24,914.25
  6. Step 6: Final answer
    x = 59,855.44

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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.