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Finding the Third Proportional to 38,704.78 and 54,504.84

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Solution

The third proportional to 38,704.78 and 54,504.84 is: 76,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704.78 : 54,504.84 = 54,504.84 : x
  2. Step 2: Convert to fraction form
    38,704.78/54,504.84 = 54,504.84/x
  3. Step 3: Cross multiply
    38,704.78x = 54,504.84 × 54,504.84
  4. Step 4: Simplify right side
    38,704.78x = 2,970,777,992.21
  5. Step 5: Solve for x
    x = 2,970,777,992.21/38,704.78
  6. Step 6: Final answer
    x = 76,754.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.