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Finding the Third Proportional to 33,824 and 68,944

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Solution

The third proportional to 33,824 and 68,944 is: 140,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824 : 68,944 = 68,944 : x
  2. Step 2: Convert to fraction form
    33,824/68,944 = 68,944/x
  3. Step 3: Cross multiply
    33,824x = 68,944 × 68,944
  4. Step 4: Simplify right side
    33,824x = 4,753,275,136
  5. Step 5: Solve for x
    x = 4,753,275,136/33,824
  6. Step 6: Final answer
    x = 140,529.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.