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Finding the Third Proportional to 27,456.75 and 41,076.75

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Solution

The third proportional to 27,456.75 and 41,076.75 is: 61,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,456.75 : 41,076.75 = 41,076.75 : x
  2. Step 2: Convert to fraction form
    27,456.75/41,076.75 = 41,076.75/x
  3. Step 3: Cross multiply
    27,456.75x = 41,076.75 × 41,076.75
  4. Step 4: Simplify right side
    27,456.75x = 1,687,299,390.56
  5. Step 5: Solve for x
    x = 1,687,299,390.56/27,456.75
  6. Step 6: Final answer
    x = 61,452.99

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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.