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Finding the Third Proportional to 20,452 and 44,125

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Solution

The third proportional to 20,452 and 44,125 is: 95,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452 : 44,125 = 44,125 : x
  2. Step 2: Convert to fraction form
    20,452/44,125 = 44,125/x
  3. Step 3: Cross multiply
    20,452x = 44,125 × 44,125
  4. Step 4: Simplify right side
    20,452x = 1,947,015,625
  5. Step 5: Solve for x
    x = 1,947,015,625/20,452
  6. Step 6: Final answer
    x = 95,199.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.