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Finding the Third Proportional to 4,002 and 8,166

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Solution

The third proportional to 4,002 and 8,166 is: 16,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002 : 8,166 = 8,166 : x
  2. Step 2: Convert to fraction form
    4,002/8,166 = 8,166/x
  3. Step 3: Cross multiply
    4,002x = 8,166 × 8,166
  4. Step 4: Simplify right side
    4,002x = 66,683,556
  5. Step 5: Solve for x
    x = 66,683,556/4,002
  6. Step 6: Final answer
    x = 16,662.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.