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Finding the Third Proportional to 40,794 and 54,899

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Solution

The third proportional to 40,794 and 54,899 is: 73,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,794 : 54,899 = 54,899 : x
  2. Step 2: Convert to fraction form
    40,794/54,899 = 54,899/x
  3. Step 3: Cross multiply
    40,794x = 54,899 × 54,899
  4. Step 4: Simplify right side
    40,794x = 3,013,900,201
  5. Step 5: Solve for x
    x = 3,013,900,201/40,794
  6. Step 6: Final answer
    x = 73,880.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.