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Finding the Third Proportional to 12,786 and 27,349

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Solution

The third proportional to 12,786 and 27,349 is: 58,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786 : 27,349 = 27,349 : x
  2. Step 2: Convert to fraction form
    12,786/27,349 = 27,349/x
  3. Step 3: Cross multiply
    12,786x = 27,349 × 27,349
  4. Step 4: Simplify right side
    12,786x = 747,967,801
  5. Step 5: Solve for x
    x = 747,967,801/12,786
  6. Step 6: Final answer
    x = 58,498.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.