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Finding the Third Proportional to 22,149 and 33,921

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Solution

The third proportional to 22,149 and 33,921 is: 51,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,149 : 33,921 = 33,921 : x
  2. Step 2: Convert to fraction form
    22,149/33,921 = 33,921/x
  3. Step 3: Cross multiply
    22,149x = 33,921 × 33,921
  4. Step 4: Simplify right side
    22,149x = 1,150,634,241
  5. Step 5: Solve for x
    x = 1,150,634,241/22,149
  6. Step 6: Final answer
    x = 51,949.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.