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Finding the Third Proportional to 3,614 and 5,934

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Solution

The third proportional to 3,614 and 5,934 is: 9,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614 : 5,934 = 5,934 : x
  2. Step 2: Convert to fraction form
    3,614/5,934 = 5,934/x
  3. Step 3: Cross multiply
    3,614x = 5,934 × 5,934
  4. Step 4: Simplify right side
    3,614x = 35,212,356
  5. Step 5: Solve for x
    x = 35,212,356/3,614
  6. Step 6: Final answer
    x = 9,743.32

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.