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Finding the Third Proportional to 20,966 and 44,485

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Solution

The third proportional to 20,966 and 44,485 is: 94,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,966 : 44,485 = 44,485 : x
  2. Step 2: Convert to fraction form
    20,966/44,485 = 44,485/x
  3. Step 3: Cross multiply
    20,966x = 44,485 × 44,485
  4. Step 4: Simplify right side
    20,966x = 1,978,915,225
  5. Step 5: Solve for x
    x = 1,978,915,225/20,966
  6. Step 6: Final answer
    x = 94,386.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.