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Finding the Third Proportional to 33,305 and 70,849

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Solution

The third proportional to 33,305 and 70,849 is: 150,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,305 : 70,849 = 70,849 : x
  2. Step 2: Convert to fraction form
    33,305/70,849 = 70,849/x
  3. Step 3: Cross multiply
    33,305x = 70,849 × 70,849
  4. Step 4: Simplify right side
    33,305x = 5,019,580,801
  5. Step 5: Solve for x
    x = 5,019,580,801/33,305
  6. Step 6: Final answer
    x = 150,715.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.