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Finding the Third Proportional to 8,286 and 16,950

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Solution

The third proportional to 8,286 and 16,950 is: 34,673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286 : 16,950 = 16,950 : x
  2. Step 2: Convert to fraction form
    8,286/16,950 = 16,950/x
  3. Step 3: Cross multiply
    8,286x = 16,950 × 16,950
  4. Step 4: Simplify right side
    8,286x = 287,302,500
  5. Step 5: Solve for x
    x = 287,302,500/8,286
  6. Step 6: Final answer
    x = 34,673.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.