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Finding the Third Proportional to 20,022 and 31,167

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Solution

The third proportional to 20,022 and 31,167 is: 48,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022 : 31,167 = 31,167 : x
  2. Step 2: Convert to fraction form
    20,022/31,167 = 31,167/x
  3. Step 3: Cross multiply
    20,022x = 31,167 × 31,167
  4. Step 4: Simplify right side
    20,022x = 971,381,889
  5. Step 5: Solve for x
    x = 971,381,889/20,022
  6. Step 6: Final answer
    x = 48,515.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.