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Finding the Third Proportional to 17,581.50 and 27,096.75

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Solution

The third proportional to 17,581.50 and 27,096.75 is: 41,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,581.50 : 27,096.75 = 27,096.75 : x
  2. Step 2: Convert to fraction form
    17,581.50/27,096.75 = 27,096.75/x
  3. Step 3: Cross multiply
    17,581.50x = 27,096.75 × 27,096.75
  4. Step 4: Simplify right side
    17,581.50x = 734,233,860.56
  5. Step 5: Solve for x
    x = 734,233,860.56/17,581.50
  6. Step 6: Final answer
    x = 41,761.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.