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Finding the Third Proportional to 38,863 and 85,016

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Solution

The third proportional to 38,863 and 85,016 is: 185,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863 : 85,016 = 85,016 : x
  2. Step 2: Convert to fraction form
    38,863/85,016 = 85,016/x
  3. Step 3: Cross multiply
    38,863x = 85,016 × 85,016
  4. Step 4: Simplify right side
    38,863x = 7,227,720,256
  5. Step 5: Solve for x
    x = 7,227,720,256/38,863
  6. Step 6: Final answer
    x = 185,979.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.