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Finding the Third Proportional to 20,122 and 40,950

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Solution

The third proportional to 20,122 and 40,950 is: 83,336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122 : 40,950 = 40,950 : x
  2. Step 2: Convert to fraction form
    20,122/40,950 = 40,950/x
  3. Step 3: Cross multiply
    20,122x = 40,950 × 40,950
  4. Step 4: Simplify right side
    20,122x = 1,676,902,500
  5. Step 5: Solve for x
    x = 1,676,902,500/20,122
  6. Step 6: Final answer
    x = 83,336.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.