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Finding the Third Proportional to 19,960.75 and 33,266

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Solution

The third proportional to 19,960.75 and 33,266 is: 55,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,960.75 : 33,266 = 33,266 : x
  2. Step 2: Convert to fraction form
    19,960.75/33,266 = 33,266/x
  3. Step 3: Cross multiply
    19,960.75x = 33,266 × 33,266
  4. Step 4: Simplify right side
    19,960.75x = 1,106,626,756
  5. Step 5: Solve for x
    x = 1,106,626,756/19,960.75
  6. Step 6: Final answer
    x = 55,440.14

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.