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Finding the Third Proportional to 3,183 and 6,909

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Solution

The third proportional to 3,183 and 6,909 is: 14,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183 : 6,909 = 6,909 : x
  2. Step 2: Convert to fraction form
    3,183/6,909 = 6,909/x
  3. Step 3: Cross multiply
    3,183x = 6,909 × 6,909
  4. Step 4: Simplify right side
    3,183x = 47,734,281
  5. Step 5: Solve for x
    x = 47,734,281/3,183
  6. Step 6: Final answer
    x = 14,996.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.