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Finding the Third Proportional to 5,404.59 and 11,642.91

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Solution

The third proportional to 5,404.59 and 11,642.91 is: 25,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.59 : 11,642.91 = 11,642.91 : x
  2. Step 2: Convert to fraction form
    5,404.59/11,642.91 = 11,642.91/x
  3. Step 3: Cross multiply
    5,404.59x = 11,642.91 × 11,642.91
  4. Step 4: Simplify right side
    5,404.59x = 135,557,265.95
  5. Step 5: Solve for x
    x = 135,557,265.95/5,404.59
  6. Step 6: Final answer
    x = 25,081.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.