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Finding the Third Proportional to 3,274 and 6,782

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Solution

The third proportional to 3,274 and 6,782 is: 14,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274 : 6,782 = 6,782 : x
  2. Step 2: Convert to fraction form
    3,274/6,782 = 6,782/x
  3. Step 3: Cross multiply
    3,274x = 6,782 × 6,782
  4. Step 4: Simplify right side
    3,274x = 45,995,524
  5. Step 5: Solve for x
    x = 45,995,524/3,274
  6. Step 6: Final answer
    x = 14,048.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.