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Finding the Third Proportional to 11,481.75 and 17,769.38

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Solution

The third proportional to 11,481.75 and 17,769.38 is: 27,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.75 : 17,769.38 = 17,769.38 : x
  2. Step 2: Convert to fraction form
    11,481.75/17,769.38 = 17,769.38/x
  3. Step 3: Cross multiply
    11,481.75x = 17,769.38 × 17,769.38
  4. Step 4: Simplify right side
    11,481.75x = 315,750,687.89
  5. Step 5: Solve for x
    x = 315,750,687.89/11,481.75
  6. Step 6: Final answer
    x = 27,500.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.