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Finding the Third Proportional to 33,408 and 71,838

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Solution

The third proportional to 33,408 and 71,838 is: 154,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,408 : 71,838 = 71,838 : x
  2. Step 2: Convert to fraction form
    33,408/71,838 = 71,838/x
  3. Step 3: Cross multiply
    33,408x = 71,838 × 71,838
  4. Step 4: Simplify right side
    33,408x = 5,160,698,244
  5. Step 5: Solve for x
    x = 5,160,698,244/33,408
  6. Step 6: Final answer
    x = 154,474.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.