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Finding the Third Proportional to 13,876 and 16,020

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Solution

The third proportional to 13,876 and 16,020 is: 18,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876 : 16,020 = 16,020 : x
  2. Step 2: Convert to fraction form
    13,876/16,020 = 16,020/x
  3. Step 3: Cross multiply
    13,876x = 16,020 × 16,020
  4. Step 4: Simplify right side
    13,876x = 256,640,400
  5. Step 5: Solve for x
    x = 256,640,400/13,876
  6. Step 6: Final answer
    x = 18,495.27

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.