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Finding the Third Proportional to 33,707.53 and 73,297.97

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Solution

The third proportional to 33,707.53 and 73,297.97 is: 159,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,707.53 : 73,297.97 = 73,297.97 : x
  2. Step 2: Convert to fraction form
    33,707.53/73,297.97 = 73,297.97/x
  3. Step 3: Cross multiply
    33,707.53x = 73,297.97 × 73,297.97
  4. Step 4: Simplify right side
    33,707.53x = 5,372,592,222.88
  5. Step 5: Solve for x
    x = 5,372,592,222.88/33,707.53
  6. Step 6: Final answer
    x = 159,388.48

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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.