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Finding the Third Proportional to 6,831 and 10,972.13

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Solution

The third proportional to 6,831 and 10,972.13 is: 17,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 10,972.13 = 10,972.13 : x
  2. Step 2: Convert to fraction form
    6,831/10,972.13 = 10,972.13/x
  3. Step 3: Cross multiply
    6,831x = 10,972.13 × 10,972.13
  4. Step 4: Simplify right side
    6,831x = 120,387,527.02
  5. Step 5: Solve for x
    x = 120,387,527.02/6,831
  6. Step 6: Final answer
    x = 17,623.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.