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Finding the Third Proportional to 20,013 and 26,850

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Solution

The third proportional to 20,013 and 26,850 is: 36,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013 : 26,850 = 26,850 : x
  2. Step 2: Convert to fraction form
    20,013/26,850 = 26,850/x
  3. Step 3: Cross multiply
    20,013x = 26,850 × 26,850
  4. Step 4: Simplify right side
    20,013x = 720,922,500
  5. Step 5: Solve for x
    x = 720,922,500/20,013
  6. Step 6: Final answer
    x = 36,022.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.