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Finding the Third Proportional to 13,589.73 and 18,049.16

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Solution

The third proportional to 13,589.73 and 18,049.16 is: 23,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.73 : 18,049.16 = 18,049.16 : x
  2. Step 2: Convert to fraction form
    13,589.73/18,049.16 = 18,049.16/x
  3. Step 3: Cross multiply
    13,589.73x = 18,049.16 × 18,049.16
  4. Step 4: Simplify right side
    13,589.73x = 325,772,076.59
  5. Step 5: Solve for x
    x = 325,772,076.59/13,589.73
  6. Step 6: Final answer
    x = 23,971.94

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.