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Finding the Third Proportional to 19,198 and 44,881

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Solution

The third proportional to 19,198 and 44,881 is: 104,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198 : 44,881 = 44,881 : x
  2. Step 2: Convert to fraction form
    19,198/44,881 = 44,881/x
  3. Step 3: Cross multiply
    19,198x = 44,881 × 44,881
  4. Step 4: Simplify right side
    19,198x = 2,014,304,161
  5. Step 5: Solve for x
    x = 2,014,304,161/19,198
  6. Step 6: Final answer
    x = 104,922.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.