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Finding the Third Proportional to 22,909 and 50,192

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Solution

The third proportional to 22,909 and 50,192 is: 109,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909 : 50,192 = 50,192 : x
  2. Step 2: Convert to fraction form
    22,909/50,192 = 50,192/x
  3. Step 3: Cross multiply
    22,909x = 50,192 × 50,192
  4. Step 4: Simplify right side
    22,909x = 2,519,236,864
  5. Step 5: Solve for x
    x = 2,519,236,864/22,909
  6. Step 6: Final answer
    x = 109,967.12

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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.