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Finding the Third Proportional to 11,286 and 14,661

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Solution

The third proportional to 11,286 and 14,661 is: 19,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286 : 14,661 = 14,661 : x
  2. Step 2: Convert to fraction form
    11,286/14,661 = 14,661/x
  3. Step 3: Cross multiply
    11,286x = 14,661 × 14,661
  4. Step 4: Simplify right side
    11,286x = 214,944,921
  5. Step 5: Solve for x
    x = 214,944,921/11,286
  6. Step 6: Final answer
    x = 19,045.27

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.