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Finding the Third Proportional to 20,184.19 and 41,496.05

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Solution

The third proportional to 20,184.19 and 41,496.05 is: 85,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.19 : 41,496.05 = 41,496.05 : x
  2. Step 2: Convert to fraction form
    20,184.19/41,496.05 = 41,496.05/x
  3. Step 3: Cross multiply
    20,184.19x = 41,496.05 × 41,496.05
  4. Step 4: Simplify right side
    20,184.19x = 1,721,921,906.25
  5. Step 5: Solve for x
    x = 1,721,921,906.25/20,184.19
  6. Step 6: Final answer
    x = 85,310.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.