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Finding the Third Proportional to 11,698 and 12,874

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Solution

The third proportional to 11,698 and 12,874 is: 14,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698 : 12,874 = 12,874 : x
  2. Step 2: Convert to fraction form
    11,698/12,874 = 12,874/x
  3. Step 3: Cross multiply
    11,698x = 12,874 × 12,874
  4. Step 4: Simplify right side
    11,698x = 165,739,876
  5. Step 5: Solve for x
    x = 165,739,876/11,698
  6. Step 6: Final answer
    x = 14,168.22

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.