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Finding the Third Proportional to 27,642.38 and 41,491.69

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Solution

The third proportional to 27,642.38 and 41,491.69 is: 62,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.38 : 41,491.69 = 41,491.69 : x
  2. Step 2: Convert to fraction form
    27,642.38/41,491.69 = 41,491.69/x
  3. Step 3: Cross multiply
    27,642.38x = 41,491.69 × 41,491.69
  4. Step 4: Simplify right side
    27,642.38x = 1,721,560,131.60
  5. Step 5: Solve for x
    x = 1,721,560,131.60/27,642.38
  6. Step 6: Final answer
    x = 62,279.75

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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.