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Finding the Third Proportional to 17,406.75 and 35,735.25

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Solution

The third proportional to 17,406.75 and 35,735.25 is: 73,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.75 : 35,735.25 = 35,735.25 : x
  2. Step 2: Convert to fraction form
    17,406.75/35,735.25 = 35,735.25/x
  3. Step 3: Cross multiply
    17,406.75x = 35,735.25 × 35,735.25
  4. Step 4: Simplify right side
    17,406.75x = 1,277,008,092.56
  5. Step 5: Solve for x
    x = 1,277,008,092.56/17,406.75
  6. Step 6: Final answer
    x = 73,362.81

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.