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Finding the Third Proportional to 6,474 and 7,874

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Solution

The third proportional to 6,474 and 7,874 is: 9,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 7,874 = 7,874 : x
  2. Step 2: Convert to fraction form
    6,474/7,874 = 7,874/x
  3. Step 3: Cross multiply
    6,474x = 7,874 × 7,874
  4. Step 4: Simplify right side
    6,474x = 61,999,876
  5. Step 5: Solve for x
    x = 61,999,876/6,474
  6. Step 6: Final answer
    x = 9,576.75

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.