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Finding the Third Proportional to 3,514 and 5,424

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Solution

The third proportional to 3,514 and 5,424 is: 8,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514 : 5,424 = 5,424 : x
  2. Step 2: Convert to fraction form
    3,514/5,424 = 5,424/x
  3. Step 3: Cross multiply
    3,514x = 5,424 × 5,424
  4. Step 4: Simplify right side
    3,514x = 29,419,776
  5. Step 5: Solve for x
    x = 29,419,776/3,514
  6. Step 6: Final answer
    x = 8,372.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.