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Finding the Third Proportional to 4,162 and 6,241

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Solution

The third proportional to 4,162 and 6,241 is: 9,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162 : 6,241 = 6,241 : x
  2. Step 2: Convert to fraction form
    4,162/6,241 = 6,241/x
  3. Step 3: Cross multiply
    4,162x = 6,241 × 6,241
  4. Step 4: Simplify right side
    4,162x = 38,950,081
  5. Step 5: Solve for x
    x = 38,950,081/4,162
  6. Step 6: Final answer
    x = 9,358.50

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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.