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Finding the Third Proportional to 3,412 and 6,734

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Solution

The third proportional to 3,412 and 6,734 is: 13,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412 : 6,734 = 6,734 : x
  2. Step 2: Convert to fraction form
    3,412/6,734 = 6,734/x
  3. Step 3: Cross multiply
    3,412x = 6,734 × 6,734
  4. Step 4: Simplify right side
    3,412x = 45,346,756
  5. Step 5: Solve for x
    x = 45,346,756/3,412
  6. Step 6: Final answer
    x = 13,290.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.