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Finding the Third Proportional to 24,327 and 38,778.75

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Solution

The third proportional to 24,327 and 38,778.75 is: 61,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,327 : 38,778.75 = 38,778.75 : x
  2. Step 2: Convert to fraction form
    24,327/38,778.75 = 38,778.75/x
  3. Step 3: Cross multiply
    24,327x = 38,778.75 × 38,778.75
  4. Step 4: Simplify right side
    24,327x = 1,503,791,451.56
  5. Step 5: Solve for x
    x = 1,503,791,451.56/24,327
  6. Step 6: Final answer
    x = 61,815.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.