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Finding the Third Proportional to 6,608 and 13,936

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Solution

The third proportional to 6,608 and 13,936 is: 29,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608 : 13,936 = 13,936 : x
  2. Step 2: Convert to fraction form
    6,608/13,936 = 13,936/x
  3. Step 3: Cross multiply
    6,608x = 13,936 × 13,936
  4. Step 4: Simplify right side
    6,608x = 194,212,096
  5. Step 5: Solve for x
    x = 194,212,096/6,608
  6. Step 6: Final answer
    x = 29,390.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.