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Finding the Third Proportional to 5,452.31 and 11,944.97

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Solution

The third proportional to 5,452.31 and 11,944.97 is: 26,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.31 : 11,944.97 = 11,944.97 : x
  2. Step 2: Convert to fraction form
    5,452.31/11,944.97 = 11,944.97/x
  3. Step 3: Cross multiply
    5,452.31x = 11,944.97 × 11,944.97
  4. Step 4: Simplify right side
    5,452.31x = 142,682,278.44
  5. Step 5: Solve for x
    x = 142,682,278.44/5,452.31
  6. Step 6: Final answer
    x = 26,169.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.