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Finding the Third Proportional to 13,806 and 30,384

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Solution

The third proportional to 13,806 and 30,384 is: 66,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806 : 30,384 = 30,384 : x
  2. Step 2: Convert to fraction form
    13,806/30,384 = 30,384/x
  3. Step 3: Cross multiply
    13,806x = 30,384 × 30,384
  4. Step 4: Simplify right side
    13,806x = 923,187,456
  5. Step 5: Solve for x
    x = 923,187,456/13,806
  6. Step 6: Final answer
    x = 66,868.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.