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Finding the Third Proportional to 11,237 and 16,186

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Solution

The third proportional to 11,237 and 16,186 is: 23,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,237 : 16,186 = 16,186 : x
  2. Step 2: Convert to fraction form
    11,237/16,186 = 16,186/x
  3. Step 3: Cross multiply
    11,237x = 16,186 × 16,186
  4. Step 4: Simplify right side
    11,237x = 261,986,596
  5. Step 5: Solve for x
    x = 261,986,596/11,237
  6. Step 6: Final answer
    x = 23,314.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.