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Finding the Third Proportional to 3,841 and 5,932

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Solution

The third proportional to 3,841 and 5,932 is: 9,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841 : 5,932 = 5,932 : x
  2. Step 2: Convert to fraction form
    3,841/5,932 = 5,932/x
  3. Step 3: Cross multiply
    3,841x = 5,932 × 5,932
  4. Step 4: Simplify right side
    3,841x = 35,188,624
  5. Step 5: Solve for x
    x = 35,188,624/3,841
  6. Step 6: Final answer
    x = 9,161.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.