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Finding the Third Proportional to 51,009 and 71,704.75

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Solution

The third proportional to 51,009 and 71,704.75 is: 100,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009 : 71,704.75 = 71,704.75 : x
  2. Step 2: Convert to fraction form
    51,009/71,704.75 = 71,704.75/x
  3. Step 3: Cross multiply
    51,009x = 71,704.75 × 71,704.75
  4. Step 4: Simplify right side
    51,009x = 5,141,571,172.56
  5. Step 5: Solve for x
    x = 5,141,571,172.56/51,009
  6. Step 6: Final answer
    x = 100,797.33

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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.