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Finding the Third Proportional to 12,814.38 and 27,734.75

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Solution

The third proportional to 12,814.38 and 27,734.75 is: 60,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.38 : 27,734.75 = 27,734.75 : x
  2. Step 2: Convert to fraction form
    12,814.38/27,734.75 = 27,734.75/x
  3. Step 3: Cross multiply
    12,814.38x = 27,734.75 × 27,734.75
  4. Step 4: Simplify right side
    12,814.38x = 769,216,357.56
  5. Step 5: Solve for x
    x = 769,216,357.56/12,814.38
  6. Step 6: Final answer
    x = 60,027.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.