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Finding the Third Proportional to 6,888 and 13,936

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Solution

The third proportional to 6,888 and 13,936 is: 28,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888 : 13,936 = 13,936 : x
  2. Step 2: Convert to fraction form
    6,888/13,936 = 13,936/x
  3. Step 3: Cross multiply
    6,888x = 13,936 × 13,936
  4. Step 4: Simplify right side
    6,888x = 194,212,096
  5. Step 5: Solve for x
    x = 194,212,096/6,888
  6. Step 6: Final answer
    x = 28,195.72

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.