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Finding the Third Proportional to 33,893.44 and 73,821.38

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Solution

The third proportional to 33,893.44 and 73,821.38 is: 160,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,893.44 : 73,821.38 = 73,821.38 : x
  2. Step 2: Convert to fraction form
    33,893.44/73,821.38 = 73,821.38/x
  3. Step 3: Cross multiply
    33,893.44x = 73,821.38 × 73,821.38
  4. Step 4: Simplify right side
    33,893.44x = 5,449,595,406.89
  5. Step 5: Solve for x
    x = 5,449,595,406.89/33,893.44
  6. Step 6: Final answer
    x = 160,786.15

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