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Finding the Third Proportional to 6,792.75 and 13,149.56

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Solution

The third proportional to 6,792.75 and 13,149.56 is: 25,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.75 : 13,149.56 = 13,149.56 : x
  2. Step 2: Convert to fraction form
    6,792.75/13,149.56 = 13,149.56/x
  3. Step 3: Cross multiply
    6,792.75x = 13,149.56 × 13,149.56
  4. Step 4: Simplify right side
    6,792.75x = 172,910,993.94
  5. Step 5: Solve for x
    x = 172,910,993.94/6,792.75
  6. Step 6: Final answer
    x = 25,455.23

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.