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Finding the Third Proportional to 17,481.75 and 38,365.78

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Solution

The third proportional to 17,481.75 and 38,365.78 is: 84,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,481.75 : 38,365.78 = 38,365.78 : x
  2. Step 2: Convert to fraction form
    17,481.75/38,365.78 = 38,365.78/x
  3. Step 3: Cross multiply
    17,481.75x = 38,365.78 × 38,365.78
  4. Step 4: Simplify right side
    17,481.75x = 1,471,933,170.92
  5. Step 5: Solve for x
    x = 1,471,933,170.92/17,481.75
  6. Step 6: Final answer
    x = 84,198.27

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