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Finding the Third Proportional to 13,213.13 and 17,712.42

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Solution

The third proportional to 13,213.13 and 17,712.42 is: 23,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.13 : 17,712.42 = 17,712.42 : x
  2. Step 2: Convert to fraction form
    13,213.13/17,712.42 = 17,712.42/x
  3. Step 3: Cross multiply
    13,213.13x = 17,712.42 × 17,712.42
  4. Step 4: Simplify right side
    13,213.13x = 313,729,888.68
  5. Step 5: Solve for x
    x = 313,729,888.68/13,213.13
  6. Step 6: Final answer
    x = 23,743.81

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.