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Finding the Third Proportional to 12,961.13 and 27,227.88

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Solution

The third proportional to 12,961.13 and 27,227.88 is: 57,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.13 : 27,227.88 = 27,227.88 : x
  2. Step 2: Convert to fraction form
    12,961.13/27,227.88 = 27,227.88/x
  3. Step 3: Cross multiply
    12,961.13x = 27,227.88 × 27,227.88
  4. Step 4: Simplify right side
    12,961.13x = 741,357,177.02
  5. Step 5: Solve for x
    x = 741,357,177.02/12,961.13
  6. Step 6: Final answer
    x = 57,198.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.