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Finding the Third Proportional to 3,002 and 6,112

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Solution

The third proportional to 3,002 and 6,112 is: 12,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002 : 6,112 = 6,112 : x
  2. Step 2: Convert to fraction form
    3,002/6,112 = 6,112/x
  3. Step 3: Cross multiply
    3,002x = 6,112 × 6,112
  4. Step 4: Simplify right side
    3,002x = 37,356,544
  5. Step 5: Solve for x
    x = 37,356,544/3,002
  6. Step 6: Final answer
    x = 12,443.89

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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.