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Finding the Third Proportional to 17,736 and 23,667.75

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Solution

The third proportional to 17,736 and 23,667.75 is: 31,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,736 : 23,667.75 = 23,667.75 : x
  2. Step 2: Convert to fraction form
    17,736/23,667.75 = 23,667.75/x
  3. Step 3: Cross multiply
    17,736x = 23,667.75 × 23,667.75
  4. Step 4: Simplify right side
    17,736x = 560,162,390.06
  5. Step 5: Solve for x
    x = 560,162,390.06/17,736
  6. Step 6: Final answer
    x = 31,583.36

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Why These Related Problems?

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