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Finding the Third Proportional to 3,796 and 8,782

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Solution

The third proportional to 3,796 and 8,782 is: 20,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796 : 8,782 = 8,782 : x
  2. Step 2: Convert to fraction form
    3,796/8,782 = 8,782/x
  3. Step 3: Cross multiply
    3,796x = 8,782 × 8,782
  4. Step 4: Simplify right side
    3,796x = 77,123,524
  5. Step 5: Solve for x
    x = 77,123,524/3,796
  6. Step 6: Final answer
    x = 20,317.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.