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Finding the Third Proportional to 8,182 and 9,622

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Solution

The third proportional to 8,182 and 9,622 is: 11,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182 : 9,622 = 9,622 : x
  2. Step 2: Convert to fraction form
    8,182/9,622 = 9,622/x
  3. Step 3: Cross multiply
    8,182x = 9,622 × 9,622
  4. Step 4: Simplify right side
    8,182x = 92,582,884
  5. Step 5: Solve for x
    x = 92,582,884/8,182
  6. Step 6: Final answer
    x = 11,315.43

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.