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Finding the Third Proportional to 3,825 and 5,814

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Solution

The third proportional to 3,825 and 5,814 is: 8,837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825 : 5,814 = 5,814 : x
  2. Step 2: Convert to fraction form
    3,825/5,814 = 5,814/x
  3. Step 3: Cross multiply
    3,825x = 5,814 × 5,814
  4. Step 4: Simplify right side
    3,825x = 33,802,596
  5. Step 5: Solve for x
    x = 33,802,596/3,825
  6. Step 6: Final answer
    x = 8,837.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.