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Finding the Third Proportional to 22,436 and 49,183

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Solution

The third proportional to 22,436 and 49,183 is: 107,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,436 : 49,183 = 49,183 : x
  2. Step 2: Convert to fraction form
    22,436/49,183 = 49,183/x
  3. Step 3: Cross multiply
    22,436x = 49,183 × 49,183
  4. Step 4: Simplify right side
    22,436x = 2,418,967,489
  5. Step 5: Solve for x
    x = 2,418,967,489/22,436
  6. Step 6: Final answer
    x = 107,816.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.