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Finding the Third Proportional to 16,724.75 and 35,091.31

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Solution

The third proportional to 16,724.75 and 35,091.31 is: 73,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,724.75 : 35,091.31 = 35,091.31 : x
  2. Step 2: Convert to fraction form
    16,724.75/35,091.31 = 35,091.31/x
  3. Step 3: Cross multiply
    16,724.75x = 35,091.31 × 35,091.31
  4. Step 4: Simplify right side
    16,724.75x = 1,231,400,212.97
  5. Step 5: Solve for x
    x = 1,231,400,212.97/16,724.75
  6. Step 6: Final answer
    x = 73,627.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.