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Finding the Third Proportional to 10,966 and 26,517

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Solution

The third proportional to 10,966 and 26,517 is: 64,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966 : 26,517 = 26,517 : x
  2. Step 2: Convert to fraction form
    10,966/26,517 = 26,517/x
  3. Step 3: Cross multiply
    10,966x = 26,517 × 26,517
  4. Step 4: Simplify right side
    10,966x = 703,151,289
  5. Step 5: Solve for x
    x = 703,151,289/10,966
  6. Step 6: Final answer
    x = 64,121.04

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.