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Finding the Third Proportional to 12,809.25 and 27,081

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Solution

The third proportional to 12,809.25 and 27,081 is: 57,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.25 : 27,081 = 27,081 : x
  2. Step 2: Convert to fraction form
    12,809.25/27,081 = 27,081/x
  3. Step 3: Cross multiply
    12,809.25x = 27,081 × 27,081
  4. Step 4: Simplify right side
    12,809.25x = 733,380,561
  5. Step 5: Solve for x
    x = 733,380,561/12,809.25
  6. Step 6: Final answer
    x = 57,253.98

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Why These Related Problems?

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