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Finding the Third Proportional to 2,182 and 3,577

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Solution

The third proportional to 2,182 and 3,577 is: 5,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182 : 3,577 = 3,577 : x
  2. Step 2: Convert to fraction form
    2,182/3,577 = 3,577/x
  3. Step 3: Cross multiply
    2,182x = 3,577 × 3,577
  4. Step 4: Simplify right side
    2,182x = 12,794,929
  5. Step 5: Solve for x
    x = 12,794,929/2,182
  6. Step 6: Final answer
    x = 5,863.85

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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.