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Finding the Third Proportional to 16,791.75 and 23,538.75

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Solution

The third proportional to 16,791.75 and 23,538.75 is: 32,996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,791.75 : 23,538.75 = 23,538.75 : x
  2. Step 2: Convert to fraction form
    16,791.75/23,538.75 = 23,538.75/x
  3. Step 3: Cross multiply
    16,791.75x = 23,538.75 × 23,538.75
  4. Step 4: Simplify right side
    16,791.75x = 554,072,751.56
  5. Step 5: Solve for x
    x = 554,072,751.56/16,791.75
  6. Step 6: Final answer
    x = 32,996.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.