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Finding the Third Proportional to 4,162 and 8,794

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Solution

The third proportional to 4,162 and 8,794 is: 18,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162 : 8,794 = 8,794 : x
  2. Step 2: Convert to fraction form
    4,162/8,794 = 8,794/x
  3. Step 3: Cross multiply
    4,162x = 8,794 × 8,794
  4. Step 4: Simplify right side
    4,162x = 77,334,436
  5. Step 5: Solve for x
    x = 77,334,436/4,162
  6. Step 6: Final answer
    x = 18,581.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.