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Finding the Third Proportional to 27,867 and 43,198.50

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Solution

The third proportional to 27,867 and 43,198.50 is: 66,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867 : 43,198.50 = 43,198.50 : x
  2. Step 2: Convert to fraction form
    27,867/43,198.50 = 43,198.50/x
  3. Step 3: Cross multiply
    27,867x = 43,198.50 × 43,198.50
  4. Step 4: Simplify right side
    27,867x = 1,866,110,402.25
  5. Step 5: Solve for x
    x = 1,866,110,402.25/27,867
  6. Step 6: Final answer
    x = 66,964.88

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Why These Related Problems?

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