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Finding the Third Proportional to 7,976 and 8,792

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Solution

The third proportional to 7,976 and 8,792 is: 9,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976 : 8,792 = 8,792 : x
  2. Step 2: Convert to fraction form
    7,976/8,792 = 8,792/x
  3. Step 3: Cross multiply
    7,976x = 8,792 × 8,792
  4. Step 4: Simplify right side
    7,976x = 77,299,264
  5. Step 5: Solve for x
    x = 77,299,264/7,976
  6. Step 6: Final answer
    x = 9,691.48

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.