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Finding the Third Proportional to 33,270.75 and 71,816.63

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Solution

The third proportional to 33,270.75 and 71,816.63 is: 155,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,270.75 : 71,816.63 = 71,816.63 : x
  2. Step 2: Convert to fraction form
    33,270.75/71,816.63 = 71,816.63/x
  3. Step 3: Cross multiply
    33,270.75x = 71,816.63 × 71,816.63
  4. Step 4: Simplify right side
    33,270.75x = 5,157,627,626.39
  5. Step 5: Solve for x
    x = 5,157,627,626.39/33,270.75
  6. Step 6: Final answer
    x = 155,019.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.