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Finding the Third Proportional to 12,971 and 16,874

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Solution

The third proportional to 12,971 and 16,874 is: 21,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971 : 16,874 = 16,874 : x
  2. Step 2: Convert to fraction form
    12,971/16,874 = 16,874/x
  3. Step 3: Cross multiply
    12,971x = 16,874 × 16,874
  4. Step 4: Simplify right side
    12,971x = 284,731,876
  5. Step 5: Solve for x
    x = 284,731,876/12,971
  6. Step 6: Final answer
    x = 21,951.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.