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Finding the Third Proportional to 27,230 and 43,867

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Solution

The third proportional to 27,230 and 43,867 is: 70,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,230 : 43,867 = 43,867 : x
  2. Step 2: Convert to fraction form
    27,230/43,867 = 43,867/x
  3. Step 3: Cross multiply
    27,230x = 43,867 × 43,867
  4. Step 4: Simplify right side
    27,230x = 1,924,313,689
  5. Step 5: Solve for x
    x = 1,924,313,689/27,230
  6. Step 6: Final answer
    x = 70,668.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.