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Finding the Third Proportional to 12,183.75 and 26,694.56

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Solution

The third proportional to 12,183.75 and 26,694.56 is: 58,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.75 : 26,694.56 = 26,694.56 : x
  2. Step 2: Convert to fraction form
    12,183.75/26,694.56 = 26,694.56/x
  3. Step 3: Cross multiply
    12,183.75x = 26,694.56 × 26,694.56
  4. Step 4: Simplify right side
    12,183.75x = 712,599,667.07
  5. Step 5: Solve for x
    x = 712,599,667.07/12,183.75
  6. Step 6: Final answer
    x = 58,487.71

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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.