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Finding the Third Proportional to 33,879.75 and 50,329.50

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Solution

The third proportional to 33,879.75 and 50,329.50 is: 74,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,879.75 : 50,329.50 = 50,329.50 : x
  2. Step 2: Convert to fraction form
    33,879.75/50,329.50 = 50,329.50/x
  3. Step 3: Cross multiply
    33,879.75x = 50,329.50 × 50,329.50
  4. Step 4: Simplify right side
    33,879.75x = 2,533,058,570.25
  5. Step 5: Solve for x
    x = 2,533,058,570.25/33,879.75
  6. Step 6: Final answer
    x = 74,766.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.