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Finding the Third Proportional to 12,502.44 and 27,123.56

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Solution

The third proportional to 12,502.44 and 27,123.56 is: 58,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.44 : 27,123.56 = 27,123.56 : x
  2. Step 2: Convert to fraction form
    12,502.44/27,123.56 = 27,123.56/x
  3. Step 3: Cross multiply
    12,502.44x = 27,123.56 × 27,123.56
  4. Step 4: Simplify right side
    12,502.44x = 735,687,642.69
  5. Step 5: Solve for x
    x = 735,687,642.69/12,502.44
  6. Step 6: Final answer
    x = 58,843.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.