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Finding the Third Proportional to 33,869 and 74,191

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Solution

The third proportional to 33,869 and 74,191 is: 162,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,869 : 74,191 = 74,191 : x
  2. Step 2: Convert to fraction form
    33,869/74,191 = 74,191/x
  3. Step 3: Cross multiply
    33,869x = 74,191 × 74,191
  4. Step 4: Simplify right side
    33,869x = 5,504,304,481
  5. Step 5: Solve for x
    x = 5,504,304,481/33,869
  6. Step 6: Final answer
    x = 162,517.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.