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Finding the Third Proportional to 23,192 and 50,893

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Solution

The third proportional to 23,192 and 50,893 is: 111,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,192 : 50,893 = 50,893 : x
  2. Step 2: Convert to fraction form
    23,192/50,893 = 50,893/x
  3. Step 3: Cross multiply
    23,192x = 50,893 × 50,893
  4. Step 4: Simplify right side
    23,192x = 2,590,097,449
  5. Step 5: Solve for x
    x = 2,590,097,449/23,192
  6. Step 6: Final answer
    x = 111,680.64

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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.