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Finding the Third Proportional to 998.06 and 2,171.25

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Solution

The third proportional to 998.06 and 2,171.25 is: 4,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.06 : 2,171.25 = 2,171.25 : x
  2. Step 2: Convert to fraction form
    998.06/2,171.25 = 2,171.25/x
  3. Step 3: Cross multiply
    998.06x = 2,171.25 × 2,171.25
  4. Step 4: Simplify right side
    998.06x = 4,714,326.56
  5. Step 5: Solve for x
    x = 4,714,326.56/998.06
  6. Step 6: Final answer
    x = 4,723.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.