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Finding the Third Proportional to 33,728.25 and 73,287.75

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Solution

The third proportional to 33,728.25 and 73,287.75 is: 159,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,728.25 : 73,287.75 = 73,287.75 : x
  2. Step 2: Convert to fraction form
    33,728.25/73,287.75 = 73,287.75/x
  3. Step 3: Cross multiply
    33,728.25x = 73,287.75 × 73,287.75
  4. Step 4: Simplify right side
    33,728.25x = 5,371,094,300.06
  5. Step 5: Solve for x
    x = 5,371,094,300.06/33,728.25
  6. Step 6: Final answer
    x = 159,246.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.