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Finding the Third Proportional to 11,923.31 and 17,682.19

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Solution

The third proportional to 11,923.31 and 17,682.19 is: 26,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.31 : 17,682.19 = 17,682.19 : x
  2. Step 2: Convert to fraction form
    11,923.31/17,682.19 = 17,682.19/x
  3. Step 3: Cross multiply
    11,923.31x = 17,682.19 × 17,682.19
  4. Step 4: Simplify right side
    11,923.31x = 312,659,754.79
  5. Step 5: Solve for x
    x = 312,659,754.79/11,923.31
  6. Step 6: Final answer
    x = 26,222.56

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.