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Finding the Third Proportional to 18,891 and 41,475

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Solution

The third proportional to 18,891 and 41,475 is: 91,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,891 : 41,475 = 41,475 : x
  2. Step 2: Convert to fraction form
    18,891/41,475 = 41,475/x
  3. Step 3: Cross multiply
    18,891x = 41,475 × 41,475
  4. Step 4: Simplify right side
    18,891x = 1,720,175,625
  5. Step 5: Solve for x
    x = 1,720,175,625/18,891
  6. Step 6: Final answer
    x = 91,057.94

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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.