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Finding the Third Proportional to 20,538 and 45,126

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Solution

The third proportional to 20,538 and 45,126 is: 99,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 45,126 = 45,126 : x
  2. Step 2: Convert to fraction form
    20,538/45,126 = 45,126/x
  3. Step 3: Cross multiply
    20,538x = 45,126 × 45,126
  4. Step 4: Simplify right side
    20,538x = 2,036,355,876
  5. Step 5: Solve for x
    x = 2,036,355,876/20,538
  6. Step 6: Final answer
    x = 99,150.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.