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Finding the Third Proportional to 2,002 and 3,111

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Solution

The third proportional to 2,002 and 3,111 is: 4,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002 : 3,111 = 3,111 : x
  2. Step 2: Convert to fraction form
    2,002/3,111 = 3,111/x
  3. Step 3: Cross multiply
    2,002x = 3,111 × 3,111
  4. Step 4: Simplify right side
    2,002x = 9,678,321
  5. Step 5: Solve for x
    x = 9,678,321/2,002
  6. Step 6: Final answer
    x = 4,834.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.