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Finding the Third Proportional to 11,678 and 16,059

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Solution

The third proportional to 11,678 and 16,059 is: 22,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678 : 16,059 = 16,059 : x
  2. Step 2: Convert to fraction form
    11,678/16,059 = 16,059/x
  3. Step 3: Cross multiply
    11,678x = 16,059 × 16,059
  4. Step 4: Simplify right side
    11,678x = 257,891,481
  5. Step 5: Solve for x
    x = 257,891,481/11,678
  6. Step 6: Final answer
    x = 22,083.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.