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Finding the Third Proportional to 23,112 and 34,327

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Solution

The third proportional to 23,112 and 34,327 is: 50,984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112 : 34,327 = 34,327 : x
  2. Step 2: Convert to fraction form
    23,112/34,327 = 34,327/x
  3. Step 3: Cross multiply
    23,112x = 34,327 × 34,327
  4. Step 4: Simplify right side
    23,112x = 1,178,342,929
  5. Step 5: Solve for x
    x = 1,178,342,929/23,112
  6. Step 6: Final answer
    x = 50,984.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.