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Finding the Third Proportional to 20,961 and 45,801

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Solution

The third proportional to 20,961 and 45,801 is: 100,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,961 : 45,801 = 45,801 : x
  2. Step 2: Convert to fraction form
    20,961/45,801 = 45,801/x
  3. Step 3: Cross multiply
    20,961x = 45,801 × 45,801
  4. Step 4: Simplify right side
    20,961x = 2,097,731,601
  5. Step 5: Solve for x
    x = 2,097,731,601/20,961
  6. Step 6: Final answer
    x = 100,077.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.