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Finding the Third Proportional to 27,843.75 and 43,084.41

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Solution

The third proportional to 27,843.75 and 43,084.41 is: 66,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.75 : 43,084.41 = 43,084.41 : x
  2. Step 2: Convert to fraction form
    27,843.75/43,084.41 = 43,084.41/x
  3. Step 3: Cross multiply
    27,843.75x = 43,084.41 × 43,084.41
  4. Step 4: Simplify right side
    27,843.75x = 1,856,266,061.92
  5. Step 5: Solve for x
    x = 1,856,266,061.92/27,843.75
  6. Step 6: Final answer
    x = 66,667.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.