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Finding the Third Proportional to 10,966 and 22,454

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Solution

The third proportional to 10,966 and 22,454 is: 45,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966 : 22,454 = 22,454 : x
  2. Step 2: Convert to fraction form
    10,966/22,454 = 22,454/x
  3. Step 3: Cross multiply
    10,966x = 22,454 × 22,454
  4. Step 4: Simplify right side
    10,966x = 504,182,116
  5. Step 5: Solve for x
    x = 504,182,116/10,966
  6. Step 6: Final answer
    x = 45,976.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.