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Finding the Third Proportional to 998.16 and 2,364.19

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Solution

The third proportional to 998.16 and 2,364.19 is: 5,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.16 : 2,364.19 = 2,364.19 : x
  2. Step 2: Convert to fraction form
    998.16/2,364.19 = 2,364.19/x
  3. Step 3: Cross multiply
    998.16x = 2,364.19 × 2,364.19
  4. Step 4: Simplify right side
    998.16x = 5,589,382.54
  5. Step 5: Solve for x
    x = 5,589,382.54/998.16
  6. Step 6: Final answer
    x = 5,599.71

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.