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Finding the Third Proportional to 12,514 and 25,676

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Solution

The third proportional to 12,514 and 25,676 is: 52,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514 : 25,676 = 25,676 : x
  2. Step 2: Convert to fraction form
    12,514/25,676 = 25,676/x
  3. Step 3: Cross multiply
    12,514x = 25,676 × 25,676
  4. Step 4: Simplify right side
    12,514x = 659,256,976
  5. Step 5: Solve for x
    x = 659,256,976/12,514
  6. Step 6: Final answer
    x = 52,681.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.