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Finding the Third Proportional to 12,713 and 27,544

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Solution

The third proportional to 12,713 and 27,544 is: 59,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713 : 27,544 = 27,544 : x
  2. Step 2: Convert to fraction form
    12,713/27,544 = 27,544/x
  3. Step 3: Cross multiply
    12,713x = 27,544 × 27,544
  4. Step 4: Simplify right side
    12,713x = 758,671,936
  5. Step 5: Solve for x
    x = 758,671,936/12,713
  6. Step 6: Final answer
    x = 59,676.86

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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.