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Finding the Third Proportional to 24,223 and 51,950

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Solution

The third proportional to 24,223 and 51,950 is: 111,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223 : 51,950 = 51,950 : x
  2. Step 2: Convert to fraction form
    24,223/51,950 = 51,950/x
  3. Step 3: Cross multiply
    24,223x = 51,950 × 51,950
  4. Step 4: Simplify right side
    24,223x = 2,698,802,500
  5. Step 5: Solve for x
    x = 2,698,802,500/24,223
  6. Step 6: Final answer
    x = 111,414.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.