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Finding the Third Proportional to 3,832.31 and 9,261.84

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Solution

The third proportional to 3,832.31 and 9,261.84 is: 22,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.31 : 9,261.84 = 9,261.84 : x
  2. Step 2: Convert to fraction form
    3,832.31/9,261.84 = 9,261.84/x
  3. Step 3: Cross multiply
    3,832.31x = 9,261.84 × 9,261.84
  4. Step 4: Simplify right side
    3,832.31x = 85,781,749.65
  5. Step 5: Solve for x
    x = 85,781,749.65/3,832.31
  6. Step 6: Final answer
    x = 22,383.81

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.