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Finding the Third Proportional to 22,393 and 31,836

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Solution

The third proportional to 22,393 and 31,836 is: 45,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,393 : 31,836 = 31,836 : x
  2. Step 2: Convert to fraction form
    22,393/31,836 = 31,836/x
  3. Step 3: Cross multiply
    22,393x = 31,836 × 31,836
  4. Step 4: Simplify right side
    22,393x = 1,013,530,896
  5. Step 5: Solve for x
    x = 1,013,530,896/22,393
  6. Step 6: Final answer
    x = 45,261.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.