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Finding the Third Proportional to 19,416.38 and 41,664.75

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Solution

The third proportional to 19,416.38 and 41,664.75 is: 89,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,416.38 : 41,664.75 = 41,664.75 : x
  2. Step 2: Convert to fraction form
    19,416.38/41,664.75 = 41,664.75/x
  3. Step 3: Cross multiply
    19,416.38x = 41,664.75 × 41,664.75
  4. Step 4: Simplify right side
    19,416.38x = 1,735,951,392.56
  5. Step 5: Solve for x
    x = 1,735,951,392.56/19,416.38
  6. Step 6: Final answer
    x = 89,406.56

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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.