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Finding the Third Proportional to 6,831 and 12,609

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Solution

The third proportional to 6,831 and 12,609 is: 23,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 12,609 = 12,609 : x
  2. Step 2: Convert to fraction form
    6,831/12,609 = 12,609/x
  3. Step 3: Cross multiply
    6,831x = 12,609 × 12,609
  4. Step 4: Simplify right side
    6,831x = 158,986,881
  5. Step 5: Solve for x
    x = 158,986,881/6,831
  6. Step 6: Final answer
    x = 23,274.32

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.