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Finding the Third Proportional to 38,214 and 83,016

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Solution

The third proportional to 38,214 and 83,016 is: 180,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,214 : 83,016 = 83,016 : x
  2. Step 2: Convert to fraction form
    38,214/83,016 = 83,016/x
  3. Step 3: Cross multiply
    38,214x = 83,016 × 83,016
  4. Step 4: Simplify right side
    38,214x = 6,891,656,256
  5. Step 5: Solve for x
    x = 6,891,656,256/38,214
  6. Step 6: Final answer
    x = 180,343.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.