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Finding the Third Proportional to 22,353 and 31,325

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Solution

The third proportional to 22,353 and 31,325 is: 43,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,353 : 31,325 = 31,325 : x
  2. Step 2: Convert to fraction form
    22,353/31,325 = 31,325/x
  3. Step 3: Cross multiply
    22,353x = 31,325 × 31,325
  4. Step 4: Simplify right side
    22,353x = 981,255,625
  5. Step 5: Solve for x
    x = 981,255,625/22,353
  6. Step 6: Final answer
    x = 43,898.16

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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.