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Finding the Third Proportional to 31,717.50 and 50,208.75

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Solution

The third proportional to 31,717.50 and 50,208.75 is: 79,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,717.50 : 50,208.75 = 50,208.75 : x
  2. Step 2: Convert to fraction form
    31,717.50/50,208.75 = 50,208.75/x
  3. Step 3: Cross multiply
    31,717.50x = 50,208.75 × 50,208.75
  4. Step 4: Simplify right side
    31,717.50x = 2,520,918,576.56
  5. Step 5: Solve for x
    x = 2,520,918,576.56/31,717.50
  6. Step 6: Final answer
    x = 79,480.37

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.