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Finding the Third Proportional to 1,832.25 and 3,942.75

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Solution

The third proportional to 1,832.25 and 3,942.75 is: 8,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.25 : 3,942.75 = 3,942.75 : x
  2. Step 2: Convert to fraction form
    1,832.25/3,942.75 = 3,942.75/x
  3. Step 3: Cross multiply
    1,832.25x = 3,942.75 × 3,942.75
  4. Step 4: Simplify right side
    1,832.25x = 15,545,277.56
  5. Step 5: Solve for x
    x = 15,545,277.56/1,832.25
  6. Step 6: Final answer
    x = 8,484.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.