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Finding the Third Proportional to 13,092 and 18,999

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Solution

The third proportional to 13,092 and 18,999 is: 27,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092 : 18,999 = 18,999 : x
  2. Step 2: Convert to fraction form
    13,092/18,999 = 18,999/x
  3. Step 3: Cross multiply
    13,092x = 18,999 × 18,999
  4. Step 4: Simplify right side
    13,092x = 360,962,001
  5. Step 5: Solve for x
    x = 360,962,001/13,092
  6. Step 6: Final answer
    x = 27,571.19

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.