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Finding the Third Proportional to 12,874.31 and 27,132.56

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Solution

The third proportional to 12,874.31 and 27,132.56 is: 57,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.31 : 27,132.56 = 27,132.56 : x
  2. Step 2: Convert to fraction form
    12,874.31/27,132.56 = 27,132.56/x
  3. Step 3: Cross multiply
    12,874.31x = 27,132.56 × 27,132.56
  4. Step 4: Simplify right side
    12,874.31x = 736,175,947.82
  5. Step 5: Solve for x
    x = 736,175,947.82/12,874.31
  6. Step 6: Final answer
    x = 57,181.77

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.