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Finding the Third Proportional to 1,998 and 4,109

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Solution

The third proportional to 1,998 and 4,109 is: 8,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998 : 4,109 = 4,109 : x
  2. Step 2: Convert to fraction form
    1,998/4,109 = 4,109/x
  3. Step 3: Cross multiply
    1,998x = 4,109 × 4,109
  4. Step 4: Simplify right side
    1,998x = 16,883,881
  5. Step 5: Solve for x
    x = 16,883,881/1,998
  6. Step 6: Final answer
    x = 8,450.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.