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Finding the Third Proportional to 33,381 and 67,683

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Solution

The third proportional to 33,381 and 67,683 is: 137,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,381 : 67,683 = 67,683 : x
  2. Step 2: Convert to fraction form
    33,381/67,683 = 67,683/x
  3. Step 3: Cross multiply
    33,381x = 67,683 × 67,683
  4. Step 4: Simplify right side
    33,381x = 4,580,988,489
  5. Step 5: Solve for x
    x = 4,580,988,489/33,381
  6. Step 6: Final answer
    x = 137,233.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.