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Finding the Third Proportional to 33,661.13 and 72,894.38

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Solution

The third proportional to 33,661.13 and 72,894.38 is: 157,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,661.13 : 72,894.38 = 72,894.38 : x
  2. Step 2: Convert to fraction form
    33,661.13/72,894.38 = 72,894.38/x
  3. Step 3: Cross multiply
    33,661.13x = 72,894.38 × 72,894.38
  4. Step 4: Simplify right side
    33,661.13x = 5,313,589,906.64
  5. Step 5: Solve for x
    x = 5,313,589,906.64/33,661.13
  6. Step 6: Final answer
    x = 157,855.39

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