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Finding the Third Proportional to 6,862 and 16,183

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Solution

The third proportional to 6,862 and 16,183 is: 38,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862 : 16,183 = 16,183 : x
  2. Step 2: Convert to fraction form
    6,862/16,183 = 16,183/x
  3. Step 3: Cross multiply
    6,862x = 16,183 × 16,183
  4. Step 4: Simplify right side
    6,862x = 261,889,489
  5. Step 5: Solve for x
    x = 261,889,489/6,862
  6. Step 6: Final answer
    x = 38,165.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.