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Finding the Third Proportional to 6,825 and 9,831

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Solution

The third proportional to 6,825 and 9,831 is: 14,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825 : 9,831 = 9,831 : x
  2. Step 2: Convert to fraction form
    6,825/9,831 = 9,831/x
  3. Step 3: Cross multiply
    6,825x = 9,831 × 9,831
  4. Step 4: Simplify right side
    6,825x = 96,648,561
  5. Step 5: Solve for x
    x = 96,648,561/6,825
  6. Step 6: Final answer
    x = 14,160.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.