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Finding the Third Proportional to 7,740 and 8,874

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Solution

The third proportional to 7,740 and 8,874 is: 10,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740 : 8,874 = 8,874 : x
  2. Step 2: Convert to fraction form
    7,740/8,874 = 8,874/x
  3. Step 3: Cross multiply
    7,740x = 8,874 × 8,874
  4. Step 4: Simplify right side
    7,740x = 78,747,876
  5. Step 5: Solve for x
    x = 78,747,876/7,740
  6. Step 6: Final answer
    x = 10,174.14

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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.