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Finding the Third Proportional to 12,874 and 17,389

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Solution

The third proportional to 12,874 and 17,389 is: 23,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874 : 17,389 = 17,389 : x
  2. Step 2: Convert to fraction form
    12,874/17,389 = 17,389/x
  3. Step 3: Cross multiply
    12,874x = 17,389 × 17,389
  4. Step 4: Simplify right side
    12,874x = 302,377,321
  5. Step 5: Solve for x
    x = 302,377,321/12,874
  6. Step 6: Final answer
    x = 23,487.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.