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Finding the Third Proportional to 5,122.97 and 11,249.44

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Solution

The third proportional to 5,122.97 and 11,249.44 is: 24,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.97 : 11,249.44 = 11,249.44 : x
  2. Step 2: Convert to fraction form
    5,122.97/11,249.44 = 11,249.44/x
  3. Step 3: Cross multiply
    5,122.97x = 11,249.44 × 11,249.44
  4. Step 4: Simplify right side
    5,122.97x = 126,549,844.07
  5. Step 5: Solve for x
    x = 126,549,844.07/5,122.97
  6. Step 6: Final answer
    x = 24,702.44

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