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Finding the Third Proportional to 3,493.92 and 5,227.01

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Solution

The third proportional to 3,493.92 and 5,227.01 is: 7,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.92 : 5,227.01 = 5,227.01 : x
  2. Step 2: Convert to fraction form
    3,493.92/5,227.01 = 5,227.01/x
  3. Step 3: Cross multiply
    3,493.92x = 5,227.01 × 5,227.01
  4. Step 4: Simplify right side
    3,493.92x = 27,321,610.67
  5. Step 5: Solve for x
    x = 27,321,610.67/3,493.92
  6. Step 6: Final answer
    x = 7,819.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.