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Finding the Third Proportional to 11,380 and 23,327

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Solution

The third proportional to 11,380 and 23,327 is: 47,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380 : 23,327 = 23,327 : x
  2. Step 2: Convert to fraction form
    11,380/23,327 = 23,327/x
  3. Step 3: Cross multiply
    11,380x = 23,327 × 23,327
  4. Step 4: Simplify right side
    11,380x = 544,148,929
  5. Step 5: Solve for x
    x = 544,148,929/11,380
  6. Step 6: Final answer
    x = 47,816.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.