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Finding the Third Proportional to 3,302 and 6,882

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Solution

The third proportional to 3,302 and 6,882 is: 14,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302 : 6,882 = 6,882 : x
  2. Step 2: Convert to fraction form
    3,302/6,882 = 6,882/x
  3. Step 3: Cross multiply
    3,302x = 6,882 × 6,882
  4. Step 4: Simplify right side
    3,302x = 47,361,924
  5. Step 5: Solve for x
    x = 47,361,924/3,302
  6. Step 6: Final answer
    x = 14,343.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.