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Finding the Third Proportional to 33,837.75 and 74,236.50

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Solution

The third proportional to 33,837.75 and 74,236.50 is: 162,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,837.75 : 74,236.50 = 74,236.50 : x
  2. Step 2: Convert to fraction form
    33,837.75/74,236.50 = 74,236.50/x
  3. Step 3: Cross multiply
    33,837.75x = 74,236.50 × 74,236.50
  4. Step 4: Simplify right side
    33,837.75x = 5,511,057,932.25
  5. Step 5: Solve for x
    x = 5,511,057,932.25/33,837.75
  6. Step 6: Final answer
    x = 162,867.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.