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Finding the Third Proportional to 33,268 and 71,867

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Solution

The third proportional to 33,268 and 71,867 is: 155,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,268 : 71,867 = 71,867 : x
  2. Step 2: Convert to fraction form
    33,268/71,867 = 71,867/x
  3. Step 3: Cross multiply
    33,268x = 71,867 × 71,867
  4. Step 4: Simplify right side
    33,268x = 5,164,865,689
  5. Step 5: Solve for x
    x = 5,164,865,689/33,268
  6. Step 6: Final answer
    x = 155,250.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.