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Finding the Third Proportional to 7,874 and 9,074

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Solution

The third proportional to 7,874 and 9,074 is: 10,456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874 : 9,074 = 9,074 : x
  2. Step 2: Convert to fraction form
    7,874/9,074 = 9,074/x
  3. Step 3: Cross multiply
    7,874x = 9,074 × 9,074
  4. Step 4: Simplify right side
    7,874x = 82,337,476
  5. Step 5: Solve for x
    x = 82,337,476/7,874
  6. Step 6: Final answer
    x = 10,456.88

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.