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Finding the Third Proportional to 20,072 and 31,930

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Solution

The third proportional to 20,072 and 31,930 is: 50,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072 : 31,930 = 31,930 : x
  2. Step 2: Convert to fraction form
    20,072/31,930 = 31,930/x
  3. Step 3: Cross multiply
    20,072x = 31,930 × 31,930
  4. Step 4: Simplify right side
    20,072x = 1,019,524,900
  5. Step 5: Solve for x
    x = 1,019,524,900/20,072
  6. Step 6: Final answer
    x = 50,793.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.