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Finding the Third Proportional to 2,002 and 4,072

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Solution

The third proportional to 2,002 and 4,072 is: 8,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002 : 4,072 = 4,072 : x
  2. Step 2: Convert to fraction form
    2,002/4,072 = 4,072/x
  3. Step 3: Cross multiply
    2,002x = 4,072 × 4,072
  4. Step 4: Simplify right side
    2,002x = 16,581,184
  5. Step 5: Solve for x
    x = 16,581,184/2,002
  6. Step 6: Final answer
    x = 8,282.31

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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.