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Finding the Third Proportional to 19,589 and 41,950

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Solution

The third proportional to 19,589 and 41,950 is: 89,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589 : 41,950 = 41,950 : x
  2. Step 2: Convert to fraction form
    19,589/41,950 = 41,950/x
  3. Step 3: Cross multiply
    19,589x = 41,950 × 41,950
  4. Step 4: Simplify right side
    19,589x = 1,759,802,500
  5. Step 5: Solve for x
    x = 1,759,802,500/19,589
  6. Step 6: Final answer
    x = 89,836.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.