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Finding the Third Proportional to 20,126 and 26,825

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Solution

The third proportional to 20,126 and 26,825 is: 35,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,126 : 26,825 = 26,825 : x
  2. Step 2: Convert to fraction form
    20,126/26,825 = 26,825/x
  3. Step 3: Cross multiply
    20,126x = 26,825 × 26,825
  4. Step 4: Simplify right side
    20,126x = 719,580,625
  5. Step 5: Solve for x
    x = 719,580,625/20,126
  6. Step 6: Final answer
    x = 35,753.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.