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Finding the Third Proportional to 19,408.31 and 41,584.13

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Solution

The third proportional to 19,408.31 and 41,584.13 is: 89,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408.31 : 41,584.13 = 41,584.13 : x
  2. Step 2: Convert to fraction form
    19,408.31/41,584.13 = 41,584.13/x
  3. Step 3: Cross multiply
    19,408.31x = 41,584.13 × 41,584.13
  4. Step 4: Simplify right side
    19,408.31x = 1,729,239,452.02
  5. Step 5: Solve for x
    x = 1,729,239,452.02/19,408.31
  6. Step 6: Final answer
    x = 89,097.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.