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Finding the Third Proportional to 33,054.75 and 50,357.25

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Solution

The third proportional to 33,054.75 and 50,357.25 is: 76,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,054.75 : 50,357.25 = 50,357.25 : x
  2. Step 2: Convert to fraction form
    33,054.75/50,357.25 = 50,357.25/x
  3. Step 3: Cross multiply
    33,054.75x = 50,357.25 × 50,357.25
  4. Step 4: Simplify right side
    33,054.75x = 2,535,852,627.56
  5. Step 5: Solve for x
    x = 2,535,852,627.56/33,054.75
  6. Step 6: Final answer
    x = 76,716.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.