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Finding the Third Proportional to 20,949.38 and 45,584.44

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Solution

The third proportional to 20,949.38 and 45,584.44 is: 99,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,949.38 : 45,584.44 = 45,584.44 : x
  2. Step 2: Convert to fraction form
    20,949.38/45,584.44 = 45,584.44/x
  3. Step 3: Cross multiply
    20,949.38x = 45,584.44 × 45,584.44
  4. Step 4: Simplify right side
    20,949.38x = 2,077,940,942.19
  5. Step 5: Solve for x
    x = 2,077,940,942.19/20,949.38
  6. Step 6: Final answer
    x = 99,188.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.