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Finding the Third Proportional to 7,686 and 16,134

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Solution

The third proportional to 7,686 and 16,134 is: 33,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686 : 16,134 = 16,134 : x
  2. Step 2: Convert to fraction form
    7,686/16,134 = 16,134/x
  3. Step 3: Cross multiply
    7,686x = 16,134 × 16,134
  4. Step 4: Simplify right side
    7,686x = 260,305,956
  5. Step 5: Solve for x
    x = 260,305,956/7,686
  6. Step 6: Final answer
    x = 33,867.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.