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Finding the Third Proportional to 11,907.75 and 17,517.38

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Solution

The third proportional to 11,907.75 and 17,517.38 is: 25,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.75 : 17,517.38 = 17,517.38 : x
  2. Step 2: Convert to fraction form
    11,907.75/17,517.38 = 17,517.38/x
  3. Step 3: Cross multiply
    11,907.75x = 17,517.38 × 17,517.38
  4. Step 4: Simplify right side
    11,907.75x = 306,858,426.89
  5. Step 5: Solve for x
    x = 306,858,426.89/11,907.75
  6. Step 6: Final answer
    x = 25,769.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.