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Finding the Third Proportional to 11,753 and 16,116

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Solution

The third proportional to 11,753 and 16,116 is: 22,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753 : 16,116 = 16,116 : x
  2. Step 2: Convert to fraction form
    11,753/16,116 = 16,116/x
  3. Step 3: Cross multiply
    11,753x = 16,116 × 16,116
  4. Step 4: Simplify right side
    11,753x = 259,725,456
  5. Step 5: Solve for x
    x = 259,725,456/11,753
  6. Step 6: Final answer
    x = 22,098.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.