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Finding the Third Proportional to 4,082 and 9,631

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Solution

The third proportional to 4,082 and 9,631 is: 22,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082 : 9,631 = 9,631 : x
  2. Step 2: Convert to fraction form
    4,082/9,631 = 9,631/x
  3. Step 3: Cross multiply
    4,082x = 9,631 × 9,631
  4. Step 4: Simplify right side
    4,082x = 92,756,161
  5. Step 5: Solve for x
    x = 92,756,161/4,082
  6. Step 6: Final answer
    x = 22,723.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.