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Finding the Third Proportional to 41,794 and 91,856

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Solution

The third proportional to 41,794 and 91,856 is: 201,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,794 : 91,856 = 91,856 : x
  2. Step 2: Convert to fraction form
    41,794/91,856 = 91,856/x
  3. Step 3: Cross multiply
    41,794x = 91,856 × 91,856
  4. Step 4: Simplify right side
    41,794x = 8,437,524,736
  5. Step 5: Solve for x
    x = 8,437,524,736/41,794
  6. Step 6: Final answer
    x = 201,883.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.