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Finding the Third Proportional to 6,831 and 16,998.19

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Solution

The third proportional to 6,831 and 16,998.19 is: 42,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 16,998.19 = 16,998.19 : x
  2. Step 2: Convert to fraction form
    6,831/16,998.19 = 16,998.19/x
  3. Step 3: Cross multiply
    6,831x = 16,998.19 × 16,998.19
  4. Step 4: Simplify right side
    6,831x = 288,938,378.29
  5. Step 5: Solve for x
    x = 288,938,378.29/6,831
  6. Step 6: Final answer
    x = 42,298.11

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.