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Finding the Third Proportional to 18,138.94 and 27,745.03

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Solution

The third proportional to 18,138.94 and 27,745.03 is: 42,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.94 : 27,745.03 = 27,745.03 : x
  2. Step 2: Convert to fraction form
    18,138.94/27,745.03 = 27,745.03/x
  3. Step 3: Cross multiply
    18,138.94x = 27,745.03 × 27,745.03
  4. Step 4: Simplify right side
    18,138.94x = 769,786,759.06
  5. Step 5: Solve for x
    x = 769,786,759.06/18,138.94
  6. Step 6: Final answer
    x = 42,438.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.