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Finding the Third Proportional to 33,939.42 and 73,138.78

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Solution

The third proportional to 33,939.42 and 73,138.78 is: 157,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,939.42 : 73,138.78 = 73,138.78 : x
  2. Step 2: Convert to fraction form
    33,939.42/73,138.78 = 73,138.78/x
  3. Step 3: Cross multiply
    33,939.42x = 73,138.78 × 73,138.78
  4. Step 4: Simplify right side
    33,939.42x = 5,349,281,322.74
  5. Step 5: Solve for x
    x = 5,349,281,322.74/33,939.42
  6. Step 6: Final answer
    x = 157,612.62

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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.