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Finding the Third Proportional to 5,104.42 and 11,242.55

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Solution

The third proportional to 5,104.42 and 11,242.55 is: 24,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.42 : 11,242.55 = 11,242.55 : x
  2. Step 2: Convert to fraction form
    5,104.42/11,242.55 = 11,242.55/x
  3. Step 3: Cross multiply
    5,104.42x = 11,242.55 × 11,242.55
  4. Step 4: Simplify right side
    5,104.42x = 126,394,860.24
  5. Step 5: Solve for x
    x = 126,394,860.24/5,104.42
  6. Step 6: Final answer
    x = 24,761.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.