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Finding the Third Proportional to 22,966 and 50,442

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Solution

The third proportional to 22,966 and 50,442 is: 110,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966 : 50,442 = 50,442 : x
  2. Step 2: Convert to fraction form
    22,966/50,442 = 50,442/x
  3. Step 3: Cross multiply
    22,966x = 50,442 × 50,442
  4. Step 4: Simplify right side
    22,966x = 2,544,395,364
  5. Step 5: Solve for x
    x = 2,544,395,364/22,966
  6. Step 6: Final answer
    x = 110,789.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.