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Finding the Third Proportional to 27,249.75 and 58,674.38

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Solution

The third proportional to 27,249.75 and 58,674.38 is: 126,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,249.75 : 58,674.38 = 58,674.38 : x
  2. Step 2: Convert to fraction form
    27,249.75/58,674.38 = 58,674.38/x
  3. Step 3: Cross multiply
    27,249.75x = 58,674.38 × 58,674.38
  4. Step 4: Simplify right side
    27,249.75x = 3,442,682,281.64
  5. Step 5: Solve for x
    x = 3,442,682,281.64/27,249.75
  6. Step 6: Final answer
    x = 126,338.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.