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Finding the Third Proportional to 12,757 and 27,631

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Solution

The third proportional to 12,757 and 27,631 is: 59,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757 : 27,631 = 27,631 : x
  2. Step 2: Convert to fraction form
    12,757/27,631 = 27,631/x
  3. Step 3: Cross multiply
    12,757x = 27,631 × 27,631
  4. Step 4: Simplify right side
    12,757x = 763,472,161
  5. Step 5: Solve for x
    x = 763,472,161/12,757
  6. Step 6: Final answer
    x = 59,847.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.