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Finding the Third Proportional to 12,771 and 27,087

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Solution

The third proportional to 12,771 and 27,087 is: 57,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771 : 27,087 = 27,087 : x
  2. Step 2: Convert to fraction form
    12,771/27,087 = 27,087/x
  3. Step 3: Cross multiply
    12,771x = 27,087 × 27,087
  4. Step 4: Simplify right side
    12,771x = 733,705,569
  5. Step 5: Solve for x
    x = 733,705,569/12,771
  6. Step 6: Final answer
    x = 57,450.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.