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Finding the Third Proportional to 33,027.12 and 36,598.08

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Solution

The third proportional to 33,027.12 and 36,598.08 is: 40,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,027.12 : 36,598.08 = 36,598.08 : x
  2. Step 2: Convert to fraction form
    33,027.12/36,598.08 = 36,598.08/x
  3. Step 3: Cross multiply
    33,027.12x = 36,598.08 × 36,598.08
  4. Step 4: Simplify right side
    33,027.12x = 1,339,419,322.44
  5. Step 5: Solve for x
    x = 1,339,419,322.44/33,027.12
  6. Step 6: Final answer
    x = 40,555.14

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.