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Finding the Third Proportional to 20,966 and 44,804

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Solution

The third proportional to 20,966 and 44,804 is: 95,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,966 : 44,804 = 44,804 : x
  2. Step 2: Convert to fraction form
    20,966/44,804 = 44,804/x
  3. Step 3: Cross multiply
    20,966x = 44,804 × 44,804
  4. Step 4: Simplify right side
    20,966x = 2,007,398,416
  5. Step 5: Solve for x
    x = 2,007,398,416/20,966
  6. Step 6: Final answer
    x = 95,745.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.