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Finding the Third Proportional to 6,831 and 10,319

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Solution

The third proportional to 6,831 and 10,319 is: 15,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 10,319 = 10,319 : x
  2. Step 2: Convert to fraction form
    6,831/10,319 = 10,319/x
  3. Step 3: Cross multiply
    6,831x = 10,319 × 10,319
  4. Step 4: Simplify right side
    6,831x = 106,481,761
  5. Step 5: Solve for x
    x = 106,481,761/6,831
  6. Step 6: Final answer
    x = 15,588.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.