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Finding the Third Proportional to 22,940 and 30,950

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Solution

The third proportional to 22,940 and 30,950 is: 41,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940 : 30,950 = 30,950 : x
  2. Step 2: Convert to fraction form
    22,940/30,950 = 30,950/x
  3. Step 3: Cross multiply
    22,940x = 30,950 × 30,950
  4. Step 4: Simplify right side
    22,940x = 957,902,500
  5. Step 5: Solve for x
    x = 957,902,500/22,940
  6. Step 6: Final answer
    x = 41,756.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.