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Finding the Third Proportional to 16,446.80 and 36,023.48

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Solution

The third proportional to 16,446.80 and 36,023.48 is: 78,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.80 : 36,023.48 = 36,023.48 : x
  2. Step 2: Convert to fraction form
    16,446.80/36,023.48 = 36,023.48/x
  3. Step 3: Cross multiply
    16,446.80x = 36,023.48 × 36,023.48
  4. Step 4: Simplify right side
    16,446.80x = 1,297,691,426.52
  5. Step 5: Solve for x
    x = 1,297,691,426.52/16,446.80
  6. Step 6: Final answer
    x = 78,902.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.