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Finding the Third Proportional to 11,154.38 and 24,310.97

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Solution

The third proportional to 11,154.38 and 24,310.97 is: 52,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.38 : 24,310.97 = 24,310.97 : x
  2. Step 2: Convert to fraction form
    11,154.38/24,310.97 = 24,310.97/x
  3. Step 3: Cross multiply
    11,154.38x = 24,310.97 × 24,310.97
  4. Step 4: Simplify right side
    11,154.38x = 591,023,201.56
  5. Step 5: Solve for x
    x = 591,023,201.56/11,154.38
  6. Step 6: Final answer
    x = 52,985.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.