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Finding the Third Proportional to 18,134.72 and 27,738.70

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Solution

The third proportional to 18,134.72 and 27,738.70 is: 42,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,134.72 : 27,738.70 = 27,738.70 : x
  2. Step 2: Convert to fraction form
    18,134.72/27,738.70 = 27,738.70/x
  3. Step 3: Cross multiply
    18,134.72x = 27,738.70 × 27,738.70
  4. Step 4: Simplify right side
    18,134.72x = 769,435,651.06
  5. Step 5: Solve for x
    x = 769,435,651.06/18,134.72
  6. Step 6: Final answer
    x = 42,428.87

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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.