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Finding the Third Proportional to 34,912.88 and 75,900.75

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Solution

The third proportional to 34,912.88 and 75,900.75 is: 165,008.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,912.88 : 75,900.75 = 75,900.75 : x
  2. Step 2: Convert to fraction form
    34,912.88/75,900.75 = 75,900.75/x
  3. Step 3: Cross multiply
    34,912.88x = 75,900.75 × 75,900.75
  4. Step 4: Simplify right side
    34,912.88x = 5,760,923,850.56
  5. Step 5: Solve for x
    x = 5,760,923,850.56/34,912.88
  6. Step 6: Final answer
    x = 165,008.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.