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Finding the Third Proportional to 33,155.72 and 67,843.41

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Solution

The third proportional to 33,155.72 and 67,843.41 is: 138,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,155.72 : 67,843.41 = 67,843.41 : x
  2. Step 2: Convert to fraction form
    33,155.72/67,843.41 = 67,843.41/x
  3. Step 3: Cross multiply
    33,155.72x = 67,843.41 × 67,843.41
  4. Step 4: Simplify right side
    33,155.72x = 4,602,727,771.60
  5. Step 5: Solve for x
    x = 4,602,727,771.60/33,155.72
  6. Step 6: Final answer
    x = 138,821.54

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.