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Finding the Third Proportional to 6,351.75 and 16,859.81

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Solution

The third proportional to 6,351.75 and 16,859.81 is: 44,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.75 : 16,859.81 = 16,859.81 : x
  2. Step 2: Convert to fraction form
    6,351.75/16,859.81 = 16,859.81/x
  3. Step 3: Cross multiply
    6,351.75x = 16,859.81 × 16,859.81
  4. Step 4: Simplify right side
    6,351.75x = 284,253,277.54
  5. Step 5: Solve for x
    x = 284,253,277.54/6,351.75
  6. Step 6: Final answer
    x = 44,751.96

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.