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Finding the Third Proportional to 33,141.25 and 50,194.25

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Solution

The third proportional to 33,141.25 and 50,194.25 is: 76,021.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,141.25 : 50,194.25 = 50,194.25 : x
  2. Step 2: Convert to fraction form
    33,141.25/50,194.25 = 50,194.25/x
  3. Step 3: Cross multiply
    33,141.25x = 50,194.25 × 50,194.25
  4. Step 4: Simplify right side
    33,141.25x = 2,519,462,733.06
  5. Step 5: Solve for x
    x = 2,519,462,733.06/33,141.25
  6. Step 6: Final answer
    x = 76,021.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.