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Finding the Third Proportional to 18,998 and 43,981

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Solution

The third proportional to 18,998 and 43,981 is: 101,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,998 : 43,981 = 43,981 : x
  2. Step 2: Convert to fraction form
    18,998/43,981 = 43,981/x
  3. Step 3: Cross multiply
    18,998x = 43,981 × 43,981
  4. Step 4: Simplify right side
    18,998x = 1,934,328,361
  5. Step 5: Solve for x
    x = 1,934,328,361/18,998
  6. Step 6: Final answer
    x = 101,817.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.