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Finding the Third Proportional to 14,914.13 and 20,906.44

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Solution

The third proportional to 14,914.13 and 20,906.44 is: 29,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.13 : 20,906.44 = 20,906.44 : x
  2. Step 2: Convert to fraction form
    14,914.13/20,906.44 = 20,906.44/x
  3. Step 3: Cross multiply
    14,914.13x = 20,906.44 × 20,906.44
  4. Step 4: Simplify right side
    14,914.13x = 437,079,128.94
  5. Step 5: Solve for x
    x = 437,079,128.94/14,914.13
  6. Step 6: Final answer
    x = 29,306.39

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.