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Finding the Third Proportional to 27,867 and 43,197

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Solution

The third proportional to 27,867 and 43,197 is: 66,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867 : 43,197 = 43,197 : x
  2. Step 2: Convert to fraction form
    27,867/43,197 = 43,197/x
  3. Step 3: Cross multiply
    27,867x = 43,197 × 43,197
  4. Step 4: Simplify right side
    27,867x = 1,865,980,809
  5. Step 5: Solve for x
    x = 1,865,980,809/27,867
  6. Step 6: Final answer
    x = 66,960.23

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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.