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Finding the Third Proportional to 17,144.81 and 25,717.31

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Solution

The third proportional to 17,144.81 and 25,717.31 is: 38,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,144.81 : 25,717.31 = 25,717.31 : x
  2. Step 2: Convert to fraction form
    17,144.81/25,717.31 = 25,717.31/x
  3. Step 3: Cross multiply
    17,144.81x = 25,717.31 × 25,717.31
  4. Step 4: Simplify right side
    17,144.81x = 661,380,162.22
  5. Step 5: Solve for x
    x = 661,380,162.22/17,144.81
  6. Step 6: Final answer
    x = 38,576.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.