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Finding the Third Proportional to 18,134.75 and 27,738.75

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Solution

The third proportional to 18,134.75 and 27,738.75 is: 42,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,134.75 : 27,738.75 = 27,738.75 : x
  2. Step 2: Convert to fraction form
    18,134.75/27,738.75 = 27,738.75/x
  3. Step 3: Cross multiply
    18,134.75x = 27,738.75 × 27,738.75
  4. Step 4: Simplify right side
    18,134.75x = 769,438,251.56
  5. Step 5: Solve for x
    x = 769,438,251.56/18,134.75
  6. Step 6: Final answer
    x = 42,428.94

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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.