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Finding the Third Proportional to 20,107 and 44,452

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Solution

The third proportional to 20,107 and 44,452 is: 98,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107 : 44,452 = 44,452 : x
  2. Step 2: Convert to fraction form
    20,107/44,452 = 44,452/x
  3. Step 3: Cross multiply
    20,107x = 44,452 × 44,452
  4. Step 4: Simplify right side
    20,107x = 1,975,980,304
  5. Step 5: Solve for x
    x = 1,975,980,304/20,107
  6. Step 6: Final answer
    x = 98,273.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.