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Finding the Third Proportional to 5,102 and 7,667

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Solution

The third proportional to 5,102 and 7,667 is: 11,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 7,667 = 7,667 : x
  2. Step 2: Convert to fraction form
    5,102/7,667 = 7,667/x
  3. Step 3: Cross multiply
    5,102x = 7,667 × 7,667
  4. Step 4: Simplify right side
    5,102x = 58,782,889
  5. Step 5: Solve for x
    x = 58,782,889/5,102
  6. Step 6: Final answer
    x = 11,521.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.