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Finding the Third Proportional to 6,397 and 13,567

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Solution

The third proportional to 6,397 and 13,567 is: 28,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397 : 13,567 = 13,567 : x
  2. Step 2: Convert to fraction form
    6,397/13,567 = 13,567/x
  3. Step 3: Cross multiply
    6,397x = 13,567 × 13,567
  4. Step 4: Simplify right side
    6,397x = 184,063,489
  5. Step 5: Solve for x
    x = 184,063,489/6,397
  6. Step 6: Final answer
    x = 28,773.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.