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Finding the Third Proportional to 3,586 and 5,691

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Solution

The third proportional to 3,586 and 5,691 is: 9,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586 : 5,691 = 5,691 : x
  2. Step 2: Convert to fraction form
    3,586/5,691 = 5,691/x
  3. Step 3: Cross multiply
    3,586x = 5,691 × 5,691
  4. Step 4: Simplify right side
    3,586x = 32,387,481
  5. Step 5: Solve for x
    x = 32,387,481/3,586
  6. Step 6: Final answer
    x = 9,031.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.