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Finding the Third Proportional to 41,976 and 91,337

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Solution

The third proportional to 41,976 and 91,337 is: 198,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,976 : 91,337 = 91,337 : x
  2. Step 2: Convert to fraction form
    41,976/91,337 = 91,337/x
  3. Step 3: Cross multiply
    41,976x = 91,337 × 91,337
  4. Step 4: Simplify right side
    41,976x = 8,342,447,569
  5. Step 5: Solve for x
    x = 8,342,447,569/41,976
  6. Step 6: Final answer
    x = 198,743.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.