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Finding the Third Proportional to 22,518 and 50,214

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Solution

The third proportional to 22,518 and 50,214 is: 111,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518 : 50,214 = 50,214 : x
  2. Step 2: Convert to fraction form
    22,518/50,214 = 50,214/x
  3. Step 3: Cross multiply
    22,518x = 50,214 × 50,214
  4. Step 4: Simplify right side
    22,518x = 2,521,445,796
  5. Step 5: Solve for x
    x = 2,521,445,796/22,518
  6. Step 6: Final answer
    x = 111,974.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.