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Finding the Third Proportional to 13,204.13 and 18,105.19

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Solution

The third proportional to 13,204.13 and 18,105.19 is: 24,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.13 : 18,105.19 = 18,105.19 : x
  2. Step 2: Convert to fraction form
    13,204.13/18,105.19 = 18,105.19/x
  3. Step 3: Cross multiply
    13,204.13x = 18,105.19 × 18,105.19
  4. Step 4: Simplify right side
    13,204.13x = 327,797,814.41
  5. Step 5: Solve for x
    x = 327,797,814.41/13,204.13
  6. Step 6: Final answer
    x = 24,825.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.