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Finding the Third Proportional to 3,296 and 6,962

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Solution

The third proportional to 3,296 and 6,962 is: 14,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296 : 6,962 = 6,962 : x
  2. Step 2: Convert to fraction form
    3,296/6,962 = 6,962/x
  3. Step 3: Cross multiply
    3,296x = 6,962 × 6,962
  4. Step 4: Simplify right side
    3,296x = 48,469,444
  5. Step 5: Solve for x
    x = 48,469,444/3,296
  6. Step 6: Final answer
    x = 14,705.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.