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Finding the Third Proportional to 38,806 and 83,794

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Solution

The third proportional to 38,806 and 83,794 is: 180,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,806 : 83,794 = 83,794 : x
  2. Step 2: Convert to fraction form
    38,806/83,794 = 83,794/x
  3. Step 3: Cross multiply
    38,806x = 83,794 × 83,794
  4. Step 4: Simplify right side
    38,806x = 7,021,434,436
  5. Step 5: Solve for x
    x = 7,021,434,436/38,806
  6. Step 6: Final answer
    x = 180,936.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.