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Finding the Third Proportional to 31,923 and 48,328

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Solution

The third proportional to 31,923 and 48,328 is: 73,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,923 : 48,328 = 48,328 : x
  2. Step 2: Convert to fraction form
    31,923/48,328 = 48,328/x
  3. Step 3: Cross multiply
    31,923x = 48,328 × 48,328
  4. Step 4: Simplify right side
    31,923x = 2,335,595,584
  5. Step 5: Solve for x
    x = 2,335,595,584/31,923
  6. Step 6: Final answer
    x = 73,163.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.