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Finding the Third Proportional to 8,349 and 12,183

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Solution

The third proportional to 8,349 and 12,183 is: 17,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349 : 12,183 = 12,183 : x
  2. Step 2: Convert to fraction form
    8,349/12,183 = 12,183/x
  3. Step 3: Cross multiply
    8,349x = 12,183 × 12,183
  4. Step 4: Simplify right side
    8,349x = 148,425,489
  5. Step 5: Solve for x
    x = 148,425,489/8,349
  6. Step 6: Final answer
    x = 17,777.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.