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Finding the Third Proportional to 6,231.94 and 8,330.34

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Solution

The third proportional to 6,231.94 and 8,330.34 is: 11,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.94 : 8,330.34 = 8,330.34 : x
  2. Step 2: Convert to fraction form
    6,231.94/8,330.34 = 8,330.34/x
  3. Step 3: Cross multiply
    6,231.94x = 8,330.34 × 8,330.34
  4. Step 4: Simplify right side
    6,231.94x = 69,394,626.99
  5. Step 5: Solve for x
    x = 69,394,626.99/6,231.94
  6. Step 6: Final answer
    x = 11,135.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.