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Finding the Third Proportional to 8,183 and 9,074

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Solution

The third proportional to 8,183 and 9,074 is: 10,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183 : 9,074 = 9,074 : x
  2. Step 2: Convert to fraction form
    8,183/9,074 = 9,074/x
  3. Step 3: Cross multiply
    8,183x = 9,074 × 9,074
  4. Step 4: Simplify right side
    8,183x = 82,337,476
  5. Step 5: Solve for x
    x = 82,337,476/8,183
  6. Step 6: Final answer
    x = 10,062.02

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.