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Finding the Third Proportional to 13,897 and 20,965

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Solution

The third proportional to 13,897 and 20,965 is: 31,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897 : 20,965 = 20,965 : x
  2. Step 2: Convert to fraction form
    13,897/20,965 = 20,965/x
  3. Step 3: Cross multiply
    13,897x = 20,965 × 20,965
  4. Step 4: Simplify right side
    13,897x = 439,531,225
  5. Step 5: Solve for x
    x = 439,531,225/13,897
  6. Step 6: Final answer
    x = 31,627.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.