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Finding the Third Proportional to 5,991 and 12,669

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Solution

The third proportional to 5,991 and 12,669 is: 26,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991 : 12,669 = 12,669 : x
  2. Step 2: Convert to fraction form
    5,991/12,669 = 12,669/x
  3. Step 3: Cross multiply
    5,991x = 12,669 × 12,669
  4. Step 4: Simplify right side
    5,991x = 160,503,561
  5. Step 5: Solve for x
    x = 160,503,561/5,991
  6. Step 6: Final answer
    x = 26,790.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.