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Finding the Third Proportional to 20,209.50 and 27,186

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Solution

The third proportional to 20,209.50 and 27,186 is: 36,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.50 : 27,186 = 27,186 : x
  2. Step 2: Convert to fraction form
    20,209.50/27,186 = 27,186/x
  3. Step 3: Cross multiply
    20,209.50x = 27,186 × 27,186
  4. Step 4: Simplify right side
    20,209.50x = 739,078,596
  5. Step 5: Solve for x
    x = 739,078,596/20,209.50
  6. Step 6: Final answer
    x = 36,570.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.