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Finding the Third Proportional to 22,391 and 31,384

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Solution

The third proportional to 22,391 and 31,384 is: 43,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,391 : 31,384 = 31,384 : x
  2. Step 2: Convert to fraction form
    22,391/31,384 = 31,384/x
  3. Step 3: Cross multiply
    22,391x = 31,384 × 31,384
  4. Step 4: Simplify right side
    22,391x = 984,955,456
  5. Step 5: Solve for x
    x = 984,955,456/22,391
  6. Step 6: Final answer
    x = 43,988.90

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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.