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Finding the Third Proportional to 33,945.75 and 73,068.75

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Solution

The third proportional to 33,945.75 and 73,068.75 is: 157,281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,945.75 : 73,068.75 = 73,068.75 : x
  2. Step 2: Convert to fraction form
    33,945.75/73,068.75 = 73,068.75/x
  3. Step 3: Cross multiply
    33,945.75x = 73,068.75 × 73,068.75
  4. Step 4: Simplify right side
    33,945.75x = 5,339,042,226.56
  5. Step 5: Solve for x
    x = 5,339,042,226.56/33,945.75
  6. Step 6: Final answer
    x = 157,281.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.