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Finding the Third Proportional to 39,933 and 85,698

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Solution

The third proportional to 39,933 and 85,698 is: 183,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,933 : 85,698 = 85,698 : x
  2. Step 2: Convert to fraction form
    39,933/85,698 = 85,698/x
  3. Step 3: Cross multiply
    39,933x = 85,698 × 85,698
  4. Step 4: Simplify right side
    39,933x = 7,344,147,204
  5. Step 5: Solve for x
    x = 7,344,147,204/39,933
  6. Step 6: Final answer
    x = 183,911.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.