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Finding the Third Proportional to 2,008 and 2,882

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Solution

The third proportional to 2,008 and 2,882 is: 4,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008 : 2,882 = 2,882 : x
  2. Step 2: Convert to fraction form
    2,008/2,882 = 2,882/x
  3. Step 3: Cross multiply
    2,008x = 2,882 × 2,882
  4. Step 4: Simplify right side
    2,008x = 8,305,924
  5. Step 5: Solve for x
    x = 8,305,924/2,008
  6. Step 6: Final answer
    x = 4,136.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.