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Finding the Third Proportional to 20,230 and 42,073

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Solution

The third proportional to 20,230 and 42,073 is: 87,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230 : 42,073 = 42,073 : x
  2. Step 2: Convert to fraction form
    20,230/42,073 = 42,073/x
  3. Step 3: Cross multiply
    20,230x = 42,073 × 42,073
  4. Step 4: Simplify right side
    20,230x = 1,770,137,329
  5. Step 5: Solve for x
    x = 1,770,137,329/20,230
  6. Step 6: Final answer
    x = 87,500.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.