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Finding the Third Proportional to 8,950 and 16,124

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Solution

The third proportional to 8,950 and 16,124 is: 29,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,950 : 16,124 = 16,124 : x
  2. Step 2: Convert to fraction form
    8,950/16,124 = 16,124/x
  3. Step 3: Cross multiply
    8,950x = 16,124 × 16,124
  4. Step 4: Simplify right side
    8,950x = 259,983,376
  5. Step 5: Solve for x
    x = 259,983,376/8,950
  6. Step 6: Final answer
    x = 29,048.42

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.