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Finding the Third Proportional to 12,877.31 and 27,138.38

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Solution

The third proportional to 12,877.31 and 27,138.38 is: 57,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.31 : 27,138.38 = 27,138.38 : x
  2. Step 2: Convert to fraction form
    12,877.31/27,138.38 = 27,138.38/x
  3. Step 3: Cross multiply
    12,877.31x = 27,138.38 × 27,138.38
  4. Step 4: Simplify right side
    12,877.31x = 736,491,397.64
  5. Step 5: Solve for x
    x = 736,491,397.64/12,877.31
  6. Step 6: Final answer
    x = 57,192.94

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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.