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Finding the Third Proportional to 27,165.38 and 57,287.25

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Solution

The third proportional to 27,165.38 and 57,287.25 is: 120,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,165.38 : 57,287.25 = 57,287.25 : x
  2. Step 2: Convert to fraction form
    27,165.38/57,287.25 = 57,287.25/x
  3. Step 3: Cross multiply
    27,165.38x = 57,287.25 × 57,287.25
  4. Step 4: Simplify right side
    27,165.38x = 3,281,829,012.56
  5. Step 5: Solve for x
    x = 3,281,829,012.56/27,165.38
  6. Step 6: Final answer
    x = 120,809.27

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.