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Finding the Third Proportional to 33,231.94 and 72,921.75

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Solution

The third proportional to 33,231.94 and 72,921.75 is: 160,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.94 : 72,921.75 = 72,921.75 : x
  2. Step 2: Convert to fraction form
    33,231.94/72,921.75 = 72,921.75/x
  3. Step 3: Cross multiply
    33,231.94x = 72,921.75 × 72,921.75
  4. Step 4: Simplify right side
    33,231.94x = 5,317,581,623.06
  5. Step 5: Solve for x
    x = 5,317,581,623.06/33,231.94
  6. Step 6: Final answer
    x = 160,014.19

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.