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Finding the Third Proportional to 20,448.50 and 41,757

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Solution

The third proportional to 20,448.50 and 41,757 is: 85,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.50 : 41,757 = 41,757 : x
  2. Step 2: Convert to fraction form
    20,448.50/41,757 = 41,757/x
  3. Step 3: Cross multiply
    20,448.50x = 41,757 × 41,757
  4. Step 4: Simplify right side
    20,448.50x = 1,743,647,049
  5. Step 5: Solve for x
    x = 1,743,647,049/20,448.50
  6. Step 6: Final answer
    x = 85,270.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.