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Finding the Third Proportional to 12,514 and 26,960

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Solution

The third proportional to 12,514 and 26,960 is: 58,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514 : 26,960 = 26,960 : x
  2. Step 2: Convert to fraction form
    12,514/26,960 = 26,960/x
  3. Step 3: Cross multiply
    12,514x = 26,960 × 26,960
  4. Step 4: Simplify right side
    12,514x = 726,841,600
  5. Step 5: Solve for x
    x = 726,841,600/12,514
  6. Step 6: Final answer
    x = 58,082.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.