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Finding the Third Proportional to 22,669 and 31,867

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Solution

The third proportional to 22,669 and 31,867 is: 44,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,669 : 31,867 = 31,867 : x
  2. Step 2: Convert to fraction form
    22,669/31,867 = 31,867/x
  3. Step 3: Cross multiply
    22,669x = 31,867 × 31,867
  4. Step 4: Simplify right side
    22,669x = 1,015,505,689
  5. Step 5: Solve for x
    x = 1,015,505,689/22,669
  6. Step 6: Final answer
    x = 44,797.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.