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Finding the Third Proportional to 33,199.75 and 71,931

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Solution

The third proportional to 33,199.75 and 71,931 is: 155,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199.75 : 71,931 = 71,931 : x
  2. Step 2: Convert to fraction form
    33,199.75/71,931 = 71,931/x
  3. Step 3: Cross multiply
    33,199.75x = 71,931 × 71,931
  4. Step 4: Simplify right side
    33,199.75x = 5,174,068,761
  5. Step 5: Solve for x
    x = 5,174,068,761/33,199.75
  6. Step 6: Final answer
    x = 155,846.62

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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.