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Finding the Third Proportional to 6,474 and 7,878

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Solution

The third proportional to 6,474 and 7,878 is: 9,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 7,878 = 7,878 : x
  2. Step 2: Convert to fraction form
    6,474/7,878 = 7,878/x
  3. Step 3: Cross multiply
    6,474x = 7,878 × 7,878
  4. Step 4: Simplify right side
    6,474x = 62,062,884
  5. Step 5: Solve for x
    x = 62,062,884/6,474
  6. Step 6: Final answer
    x = 9,586.48

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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.