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Finding the Third Proportional to 5,185.27 and 11,248.56

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Solution

The third proportional to 5,185.27 and 11,248.56 is: 24,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.27 : 11,248.56 = 11,248.56 : x
  2. Step 2: Convert to fraction form
    5,185.27/11,248.56 = 11,248.56/x
  3. Step 3: Cross multiply
    5,185.27x = 11,248.56 × 11,248.56
  4. Step 4: Simplify right side
    5,185.27x = 126,530,070.44
  5. Step 5: Solve for x
    x = 126,530,070.44/5,185.27
  6. Step 6: Final answer
    x = 24,401.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.