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Finding the Third Proportional to 27,132.75 and 57,665.25

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Solution

The third proportional to 27,132.75 and 57,665.25 is: 122,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.75 : 57,665.25 = 57,665.25 : x
  2. Step 2: Convert to fraction form
    27,132.75/57,665.25 = 57,665.25/x
  3. Step 3: Cross multiply
    27,132.75x = 57,665.25 × 57,665.25
  4. Step 4: Simplify right side
    27,132.75x = 3,325,281,057.56
  5. Step 5: Solve for x
    x = 3,325,281,057.56/27,132.75
  6. Step 6: Final answer
    x = 122,555.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.