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Finding the Third Proportional to 22,354 and 31,327

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Solution

The third proportional to 22,354 and 31,327 is: 43,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,354 : 31,327 = 31,327 : x
  2. Step 2: Convert to fraction form
    22,354/31,327 = 31,327/x
  3. Step 3: Cross multiply
    22,354x = 31,327 × 31,327
  4. Step 4: Simplify right side
    22,354x = 981,380,929
  5. Step 5: Solve for x
    x = 981,380,929/22,354
  6. Step 6: Final answer
    x = 43,901.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.