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Finding the Third Proportional to 17,871.89 and 38,409.19

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Solution

The third proportional to 17,871.89 and 38,409.19 is: 82,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.89 : 38,409.19 = 38,409.19 : x
  2. Step 2: Convert to fraction form
    17,871.89/38,409.19 = 38,409.19/x
  3. Step 3: Cross multiply
    17,871.89x = 38,409.19 × 38,409.19
  4. Step 4: Simplify right side
    17,871.89x = 1,475,265,684.41
  5. Step 5: Solve for x
    x = 1,475,265,684.41/17,871.89
  6. Step 6: Final answer
    x = 82,546.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.