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Finding the Third Proportional to 3,659 and 8,012

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Solution

The third proportional to 3,659 and 8,012 is: 17,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659 : 8,012 = 8,012 : x
  2. Step 2: Convert to fraction form
    3,659/8,012 = 8,012/x
  3. Step 3: Cross multiply
    3,659x = 8,012 × 8,012
  4. Step 4: Simplify right side
    3,659x = 64,192,144
  5. Step 5: Solve for x
    x = 64,192,144/3,659
  6. Step 6: Final answer
    x = 17,543.63

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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.