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Finding the Third Proportional to 33,446 and 70,732

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Solution

The third proportional to 33,446 and 70,732 is: 149,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,446 : 70,732 = 70,732 : x
  2. Step 2: Convert to fraction form
    33,446/70,732 = 70,732/x
  3. Step 3: Cross multiply
    33,446x = 70,732 × 70,732
  4. Step 4: Simplify right side
    33,446x = 5,003,015,824
  5. Step 5: Solve for x
    x = 5,003,015,824/33,446
  6. Step 6: Final answer
    x = 149,584.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.