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Finding the Third Proportional to 7,874 and 9,098

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Solution

The third proportional to 7,874 and 9,098 is: 10,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874 : 9,098 = 9,098 : x
  2. Step 2: Convert to fraction form
    7,874/9,098 = 9,098/x
  3. Step 3: Cross multiply
    7,874x = 9,098 × 9,098
  4. Step 4: Simplify right side
    7,874x = 82,773,604
  5. Step 5: Solve for x
    x = 82,773,604/7,874
  6. Step 6: Final answer
    x = 10,512.27

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.