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Finding the Third Proportional to 12,747 and 27,041

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Solution

The third proportional to 12,747 and 27,041 is: 57,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747 : 27,041 = 27,041 : x
  2. Step 2: Convert to fraction form
    12,747/27,041 = 27,041/x
  3. Step 3: Cross multiply
    12,747x = 27,041 × 27,041
  4. Step 4: Simplify right side
    12,747x = 731,215,681
  5. Step 5: Solve for x
    x = 731,215,681/12,747
  6. Step 6: Final answer
    x = 57,363.75

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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.