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Finding the Third Proportional to 6,766 and 7,966

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Solution

The third proportional to 6,766 and 7,966 is: 9,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766 : 7,966 = 7,966 : x
  2. Step 2: Convert to fraction form
    6,766/7,966 = 7,966/x
  3. Step 3: Cross multiply
    6,766x = 7,966 × 7,966
  4. Step 4: Simplify right side
    6,766x = 63,457,156
  5. Step 5: Solve for x
    x = 63,457,156/6,766
  6. Step 6: Final answer
    x = 9,378.83

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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.