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Finding the Third Proportional to 33,991 and 73,821

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Solution

The third proportional to 33,991 and 73,821 is: 160,323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,991 : 73,821 = 73,821 : x
  2. Step 2: Convert to fraction form
    33,991/73,821 = 73,821/x
  3. Step 3: Cross multiply
    33,991x = 73,821 × 73,821
  4. Step 4: Simplify right side
    33,991x = 5,449,540,041
  5. Step 5: Solve for x
    x = 5,449,540,041/33,991
  6. Step 6: Final answer
    x = 160,323.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.