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Finding the Third Proportional to 998.75 and 1,906.75

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Solution

The third proportional to 998.75 and 1,906.75 is: 3,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.75 : 1,906.75 = 1,906.75 : x
  2. Step 2: Convert to fraction form
    998.75/1,906.75 = 1,906.75/x
  3. Step 3: Cross multiply
    998.75x = 1,906.75 × 1,906.75
  4. Step 4: Simplify right side
    998.75x = 3,635,695.56
  5. Step 5: Solve for x
    x = 3,635,695.56/998.75
  6. Step 6: Final answer
    x = 3,640.25

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.