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Finding the Third Proportional to 20,176.88 and 41,175

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Solution

The third proportional to 20,176.88 and 41,175 is: 84,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.88 : 41,175 = 41,175 : x
  2. Step 2: Convert to fraction form
    20,176.88/41,175 = 41,175/x
  3. Step 3: Cross multiply
    20,176.88x = 41,175 × 41,175
  4. Step 4: Simplify right side
    20,176.88x = 1,695,380,625
  5. Step 5: Solve for x
    x = 1,695,380,625/20,176.88
  6. Step 6: Final answer
    x = 84,025.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.