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Finding the Third Proportional to 33,724.44 and 74,237.33

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Solution

The third proportional to 33,724.44 and 74,237.33 is: 163,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,724.44 : 74,237.33 = 74,237.33 : x
  2. Step 2: Convert to fraction form
    33,724.44/74,237.33 = 74,237.33/x
  3. Step 3: Cross multiply
    33,724.44x = 74,237.33 × 74,237.33
  4. Step 4: Simplify right side
    33,724.44x = 5,511,181,249.63
  5. Step 5: Solve for x
    x = 5,511,181,249.63/33,724.44
  6. Step 6: Final answer
    x = 163,418.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.