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Finding the Third Proportional to 8,082 and 10,479

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Solution

The third proportional to 8,082 and 10,479 is: 13,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082 : 10,479 = 10,479 : x
  2. Step 2: Convert to fraction form
    8,082/10,479 = 10,479/x
  3. Step 3: Cross multiply
    8,082x = 10,479 × 10,479
  4. Step 4: Simplify right side
    8,082x = 109,809,441
  5. Step 5: Solve for x
    x = 109,809,441/8,082
  6. Step 6: Final answer
    x = 13,586.91

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.