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Finding the Third Proportional to 6,834 and 7,474

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Solution

The third proportional to 6,834 and 7,474 is: 8,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834 : 7,474 = 7,474 : x
  2. Step 2: Convert to fraction form
    6,834/7,474 = 7,474/x
  3. Step 3: Cross multiply
    6,834x = 7,474 × 7,474
  4. Step 4: Simplify right side
    6,834x = 55,860,676
  5. Step 5: Solve for x
    x = 55,860,676/6,834
  6. Step 6: Final answer
    x = 8,173.94

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.