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Finding the Third Proportional to 8,043 and 9,825

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Solution

The third proportional to 8,043 and 9,825 is: 12,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043 : 9,825 = 9,825 : x
  2. Step 2: Convert to fraction form
    8,043/9,825 = 9,825/x
  3. Step 3: Cross multiply
    8,043x = 9,825 × 9,825
  4. Step 4: Simplify right side
    8,043x = 96,530,625
  5. Step 5: Solve for x
    x = 96,530,625/8,043
  6. Step 6: Final answer
    x = 12,001.82

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.