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Finding the Third Proportional to 6,231.94 and 9,340.31

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Solution

The third proportional to 6,231.94 and 9,340.31 is: 13,999.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.94 : 9,340.31 = 9,340.31 : x
  2. Step 2: Convert to fraction form
    6,231.94/9,340.31 = 9,340.31/x
  3. Step 3: Cross multiply
    6,231.94x = 9,340.31 × 9,340.31
  4. Step 4: Simplify right side
    6,231.94x = 87,241,437.60
  5. Step 5: Solve for x
    x = 87,241,437.60/6,231.94
  6. Step 6: Final answer
    x = 13,999.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.