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Finding the Third Proportional to 3,082 and 5,695

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Solution

The third proportional to 3,082 and 5,695 is: 10,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082 : 5,695 = 5,695 : x
  2. Step 2: Convert to fraction form
    3,082/5,695 = 5,695/x
  3. Step 3: Cross multiply
    3,082x = 5,695 × 5,695
  4. Step 4: Simplify right side
    3,082x = 32,433,025
  5. Step 5: Solve for x
    x = 32,433,025/3,082
  6. Step 6: Final answer
    x = 10,523.37

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.