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Finding the Third Proportional to 3,865.06 and 8,276.69

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Solution

The third proportional to 3,865.06 and 8,276.69 is: 17,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.06 : 8,276.69 = 8,276.69 : x
  2. Step 2: Convert to fraction form
    3,865.06/8,276.69 = 8,276.69/x
  3. Step 3: Cross multiply
    3,865.06x = 8,276.69 × 8,276.69
  4. Step 4: Simplify right side
    3,865.06x = 68,503,555.97
  5. Step 5: Solve for x
    x = 68,503,555.97/3,865.06
  6. Step 6: Final answer
    x = 17,723.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.