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Finding the Third Proportional to 3,852.56 and 6,231.94

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Solution

The third proportional to 3,852.56 and 6,231.94 is: 10,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.56 : 6,231.94 = 6,231.94 : x
  2. Step 2: Convert to fraction form
    3,852.56/6,231.94 = 6,231.94/x
  3. Step 3: Cross multiply
    3,852.56x = 6,231.94 × 6,231.94
  4. Step 4: Simplify right side
    3,852.56x = 38,837,045.00
  5. Step 5: Solve for x
    x = 38,837,045.00/3,852.56
  6. Step 6: Final answer
    x = 10,080.83

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.