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Finding the Third Proportional to 33,372 and 72,680

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Solution

The third proportional to 33,372 and 72,680 is: 158,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,372 : 72,680 = 72,680 : x
  2. Step 2: Convert to fraction form
    33,372/72,680 = 72,680/x
  3. Step 3: Cross multiply
    33,372x = 72,680 × 72,680
  4. Step 4: Simplify right side
    33,372x = 5,282,382,400
  5. Step 5: Solve for x
    x = 5,282,382,400/33,372
  6. Step 6: Final answer
    x = 158,287.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.