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Finding the Third Proportional to 12,682 and 27,008

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Solution

The third proportional to 12,682 and 27,008 is: 57,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682 : 27,008 = 27,008 : x
  2. Step 2: Convert to fraction form
    12,682/27,008 = 27,008/x
  3. Step 3: Cross multiply
    12,682x = 27,008 × 27,008
  4. Step 4: Simplify right side
    12,682x = 729,432,064
  5. Step 5: Solve for x
    x = 729,432,064/12,682
  6. Step 6: Final answer
    x = 57,517.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.