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Finding the Third Proportional to 40,758.75 and 54,843.75

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Solution

The third proportional to 40,758.75 and 54,843.75 is: 73,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,758.75 : 54,843.75 = 54,843.75 : x
  2. Step 2: Convert to fraction form
    40,758.75/54,843.75 = 54,843.75/x
  3. Step 3: Cross multiply
    40,758.75x = 54,843.75 × 54,843.75
  4. Step 4: Simplify right side
    40,758.75x = 3,007,836,914.06
  5. Step 5: Solve for x
    x = 3,007,836,914.06/40,758.75
  6. Step 6: Final answer
    x = 73,796.10

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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.