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Finding the Third Proportional to 1,112.91 and 2,404.22

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Solution

The third proportional to 1,112.91 and 2,404.22 is: 5,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.91 : 2,404.22 = 2,404.22 : x
  2. Step 2: Convert to fraction form
    1,112.91/2,404.22 = 2,404.22/x
  3. Step 3: Cross multiply
    1,112.91x = 2,404.22 × 2,404.22
  4. Step 4: Simplify right side
    1,112.91x = 5,780,267.80
  5. Step 5: Solve for x
    x = 5,780,267.80/1,112.91
  6. Step 6: Final answer
    x = 5,193.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.