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Finding the Third Proportional to 20,162 and 30,099

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Solution

The third proportional to 20,162 and 30,099 is: 44,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162 : 30,099 = 30,099 : x
  2. Step 2: Convert to fraction form
    20,162/30,099 = 30,099/x
  3. Step 3: Cross multiply
    20,162x = 30,099 × 30,099
  4. Step 4: Simplify right side
    20,162x = 905,949,801
  5. Step 5: Solve for x
    x = 905,949,801/20,162
  6. Step 6: Final answer
    x = 44,933.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.