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Finding the Third Proportional to 7,796 and 10,966

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Solution

The third proportional to 7,796 and 10,966 is: 15,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796 : 10,966 = 10,966 : x
  2. Step 2: Convert to fraction form
    7,796/10,966 = 10,966/x
  3. Step 3: Cross multiply
    7,796x = 10,966 × 10,966
  4. Step 4: Simplify right side
    7,796x = 120,253,156
  5. Step 5: Solve for x
    x = 120,253,156/7,796
  6. Step 6: Final answer
    x = 15,424.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.