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Finding the Third Proportional to 31,928 and 50,530

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Solution

The third proportional to 31,928 and 50,530 is: 79,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,928 : 50,530 = 50,530 : x
  2. Step 2: Convert to fraction form
    31,928/50,530 = 50,530/x
  3. Step 3: Cross multiply
    31,928x = 50,530 × 50,530
  4. Step 4: Simplify right side
    31,928x = 2,553,280,900
  5. Step 5: Solve for x
    x = 2,553,280,900/31,928
  6. Step 6: Final answer
    x = 79,969.96

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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.