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Finding the Third Proportional to 34,824 and 82,192

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Solution

The third proportional to 34,824 and 82,192 is: 193,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,824 : 82,192 = 82,192 : x
  2. Step 2: Convert to fraction form
    34,824/82,192 = 82,192/x
  3. Step 3: Cross multiply
    34,824x = 82,192 × 82,192
  4. Step 4: Simplify right side
    34,824x = 6,755,524,864
  5. Step 5: Solve for x
    x = 6,755,524,864/34,824
  6. Step 6: Final answer
    x = 193,990.49

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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.