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Finding the Third Proportional to 5,726 and 12,514

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Solution

The third proportional to 5,726 and 12,514 is: 27,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726 : 12,514 = 12,514 : x
  2. Step 2: Convert to fraction form
    5,726/12,514 = 12,514/x
  3. Step 3: Cross multiply
    5,726x = 12,514 × 12,514
  4. Step 4: Simplify right side
    5,726x = 156,600,196
  5. Step 5: Solve for x
    x = 156,600,196/5,726
  6. Step 6: Final answer
    x = 27,348.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.