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Finding the Third Proportional to 6,936.75 and 15,168.75

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Solution

The third proportional to 6,936.75 and 15,168.75 is: 33,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.75 : 15,168.75 = 15,168.75 : x
  2. Step 2: Convert to fraction form
    6,936.75/15,168.75 = 15,168.75/x
  3. Step 3: Cross multiply
    6,936.75x = 15,168.75 × 15,168.75
  4. Step 4: Simplify right side
    6,936.75x = 230,090,976.56
  5. Step 5: Solve for x
    x = 230,090,976.56/6,936.75
  6. Step 6: Final answer
    x = 33,169.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.