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Finding the Third Proportional to 33,493.88 and 71,844.38

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Solution

The third proportional to 33,493.88 and 71,844.38 is: 154,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,493.88 : 71,844.38 = 71,844.38 : x
  2. Step 2: Convert to fraction form
    33,493.88/71,844.38 = 71,844.38/x
  3. Step 3: Cross multiply
    33,493.88x = 71,844.38 × 71,844.38
  4. Step 4: Simplify right side
    33,493.88x = 5,161,614,219.14
  5. Step 5: Solve for x
    x = 5,161,614,219.14/33,493.88
  6. Step 6: Final answer
    x = 154,106.21

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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.