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Finding the Third Proportional to 6,400 and 13,901

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Solution

The third proportional to 6,400 and 13,901 is: 30,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400 : 13,901 = 13,901 : x
  2. Step 2: Convert to fraction form
    6,400/13,901 = 13,901/x
  3. Step 3: Cross multiply
    6,400x = 13,901 × 13,901
  4. Step 4: Simplify right side
    6,400x = 193,237,801
  5. Step 5: Solve for x
    x = 193,237,801/6,400
  6. Step 6: Final answer
    x = 30,193.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.