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Finding the Third Proportional to 3,812 and 5,687

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Solution

The third proportional to 3,812 and 5,687 is: 8,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812 : 5,687 = 5,687 : x
  2. Step 2: Convert to fraction form
    3,812/5,687 = 5,687/x
  3. Step 3: Cross multiply
    3,812x = 5,687 × 5,687
  4. Step 4: Simplify right side
    3,812x = 32,341,969
  5. Step 5: Solve for x
    x = 32,341,969/3,812
  6. Step 6: Final answer
    x = 8,484.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.