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Finding the Third Proportional to 11,675.25 and 17,471.63

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Solution

The third proportional to 11,675.25 and 17,471.63 is: 26,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.25 : 17,471.63 = 17,471.63 : x
  2. Step 2: Convert to fraction form
    11,675.25/17,471.63 = 17,471.63/x
  3. Step 3: Cross multiply
    11,675.25x = 17,471.63 × 17,471.63
  4. Step 4: Simplify right side
    11,675.25x = 305,257,680.14
  5. Step 5: Solve for x
    x = 305,257,680.14/11,675.25
  6. Step 6: Final answer
    x = 26,145.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.