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Finding the Third Proportional to 31,923 and 50,524

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Solution

The third proportional to 31,923 and 50,524 is: 79,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,923 : 50,524 = 50,524 : x
  2. Step 2: Convert to fraction form
    31,923/50,524 = 50,524/x
  3. Step 3: Cross multiply
    31,923x = 50,524 × 50,524
  4. Step 4: Simplify right side
    31,923x = 2,552,674,576
  5. Step 5: Solve for x
    x = 2,552,674,576/31,923
  6. Step 6: Final answer
    x = 79,963.49

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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.