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Finding the Third Proportional to 33,864 and 74,512

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Solution

The third proportional to 33,864 and 74,512 is: 163,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864 : 74,512 = 74,512 : x
  2. Step 2: Convert to fraction form
    33,864/74,512 = 74,512/x
  3. Step 3: Cross multiply
    33,864x = 74,512 × 74,512
  4. Step 4: Simplify right side
    33,864x = 5,552,038,144
  5. Step 5: Solve for x
    x = 5,552,038,144/33,864
  6. Step 6: Final answer
    x = 163,951.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.