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Finding the Third Proportional to 20,199.38 and 27,418.50

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Solution

The third proportional to 20,199.38 and 27,418.50 is: 37,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.38 : 27,418.50 = 27,418.50 : x
  2. Step 2: Convert to fraction form
    20,199.38/27,418.50 = 27,418.50/x
  3. Step 3: Cross multiply
    20,199.38x = 27,418.50 × 27,418.50
  4. Step 4: Simplify right side
    20,199.38x = 751,774,142.25
  5. Step 5: Solve for x
    x = 751,774,142.25/20,199.38
  6. Step 6: Final answer
    x = 37,217.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.