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Finding the Third Proportional to 20,449.50 and 41,759

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Solution

The third proportional to 20,449.50 and 41,759 is: 85,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449.50 : 41,759 = 41,759 : x
  2. Step 2: Convert to fraction form
    20,449.50/41,759 = 41,759/x
  3. Step 3: Cross multiply
    20,449.50x = 41,759 × 41,759
  4. Step 4: Simplify right side
    20,449.50x = 1,743,814,081
  5. Step 5: Solve for x
    x = 1,743,814,081/20,449.50
  6. Step 6: Final answer
    x = 85,274.17

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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.