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Finding the Third Proportional to 3,878 and 7,882

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Solution

The third proportional to 3,878 and 7,882 is: 16,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878 : 7,882 = 7,882 : x
  2. Step 2: Convert to fraction form
    3,878/7,882 = 7,882/x
  3. Step 3: Cross multiply
    3,878x = 7,882 × 7,882
  4. Step 4: Simplify right side
    3,878x = 62,125,924
  5. Step 5: Solve for x
    x = 62,125,924/3,878
  6. Step 6: Final answer
    x = 16,020.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.