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Finding the Third Proportional to 6,082 and 6,466

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Solution

The third proportional to 6,082 and 6,466 is: 6,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082 : 6,466 = 6,466 : x
  2. Step 2: Convert to fraction form
    6,082/6,466 = 6,466/x
  3. Step 3: Cross multiply
    6,082x = 6,466 × 6,466
  4. Step 4: Simplify right side
    6,082x = 41,809,156
  5. Step 5: Solve for x
    x = 41,809,156/6,082
  6. Step 6: Final answer
    x = 6,874.24

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.