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Finding the Third Proportional to 5,102 and 7,691

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Solution

The third proportional to 5,102 and 7,691 is: 11,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 7,691 = 7,691 : x
  2. Step 2: Convert to fraction form
    5,102/7,691 = 7,691/x
  3. Step 3: Cross multiply
    5,102x = 7,691 × 7,691
  4. Step 4: Simplify right side
    5,102x = 59,151,481
  5. Step 5: Solve for x
    x = 59,151,481/5,102
  6. Step 6: Final answer
    x = 11,593.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.