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Finding the Third Proportional to 8,166 and 9,606

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Solution

The third proportional to 8,166 and 9,606 is: 11,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166 : 9,606 = 9,606 : x
  2. Step 2: Convert to fraction form
    8,166/9,606 = 9,606/x
  3. Step 3: Cross multiply
    8,166x = 9,606 × 9,606
  4. Step 4: Simplify right side
    8,166x = 92,275,236
  5. Step 5: Solve for x
    x = 92,275,236/8,166
  6. Step 6: Final answer
    x = 11,299.93

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.