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Finding the Third Proportional to 17,471.25 and 23,277.75

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Solution

The third proportional to 17,471.25 and 23,277.75 is: 31,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.25 : 23,277.75 = 23,277.75 : x
  2. Step 2: Convert to fraction form
    17,471.25/23,277.75 = 23,277.75/x
  3. Step 3: Cross multiply
    17,471.25x = 23,277.75 × 23,277.75
  4. Step 4: Simplify right side
    17,471.25x = 541,853,645.06
  5. Step 5: Solve for x
    x = 541,853,645.06/17,471.25
  6. Step 6: Final answer
    x = 31,014.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.