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Finding the Third Proportional to 8,202 and 16,134

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Solution

The third proportional to 8,202 and 16,134 is: 31,736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202 : 16,134 = 16,134 : x
  2. Step 2: Convert to fraction form
    8,202/16,134 = 16,134/x
  3. Step 3: Cross multiply
    8,202x = 16,134 × 16,134
  4. Step 4: Simplify right side
    8,202x = 260,305,956
  5. Step 5: Solve for x
    x = 260,305,956/8,202
  6. Step 6: Final answer
    x = 31,736.89

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.