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Finding the Third Proportional to 3,792 and 8,232

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Solution

The third proportional to 3,792 and 8,232 is: 17,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792 : 8,232 = 8,232 : x
  2. Step 2: Convert to fraction form
    3,792/8,232 = 8,232/x
  3. Step 3: Cross multiply
    3,792x = 8,232 × 8,232
  4. Step 4: Simplify right side
    3,792x = 67,765,824
  5. Step 5: Solve for x
    x = 67,765,824/3,792
  6. Step 6: Final answer
    x = 17,870.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.