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Finding the Third Proportional to 9,231.75 and 20,134.31

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Solution

The third proportional to 9,231.75 and 20,134.31 is: 43,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.75 : 20,134.31 = 20,134.31 : x
  2. Step 2: Convert to fraction form
    9,231.75/20,134.31 = 20,134.31/x
  3. Step 3: Cross multiply
    9,231.75x = 20,134.31 × 20,134.31
  4. Step 4: Simplify right side
    9,231.75x = 405,390,539.85
  5. Step 5: Solve for x
    x = 405,390,539.85/9,231.75
  6. Step 6: Final answer
    x = 43,912.64

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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.