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Finding the Third Proportional to 3,881 and 8,002

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Solution

The third proportional to 3,881 and 8,002 is: 16,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881 : 8,002 = 8,002 : x
  2. Step 2: Convert to fraction form
    3,881/8,002 = 8,002/x
  3. Step 3: Cross multiply
    3,881x = 8,002 × 8,002
  4. Step 4: Simplify right side
    3,881x = 64,032,004
  5. Step 5: Solve for x
    x = 64,032,004/3,881
  6. Step 6: Final answer
    x = 16,498.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.