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Finding the Third Proportional to 12,747.38 and 27,684.56

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Solution

The third proportional to 12,747.38 and 27,684.56 is: 60,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.38 : 27,684.56 = 27,684.56 : x
  2. Step 2: Convert to fraction form
    12,747.38/27,684.56 = 27,684.56/x
  3. Step 3: Cross multiply
    12,747.38x = 27,684.56 × 27,684.56
  4. Step 4: Simplify right side
    12,747.38x = 766,435,000.82
  5. Step 5: Solve for x
    x = 766,435,000.82/12,747.38
  6. Step 6: Final answer
    x = 60,124.93

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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.