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Finding the Third Proportional to 3,722 and 8,792

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Solution

The third proportional to 3,722 and 8,792 is: 20,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722 : 8,792 = 8,792 : x
  2. Step 2: Convert to fraction form
    3,722/8,792 = 8,792/x
  3. Step 3: Cross multiply
    3,722x = 8,792 × 8,792
  4. Step 4: Simplify right side
    3,722x = 77,299,264
  5. Step 5: Solve for x
    x = 77,299,264/3,722
  6. Step 6: Final answer
    x = 20,768.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.