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Finding the Third Proportional to 31,530 and 48,825

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Solution

The third proportional to 31,530 and 48,825 is: 75,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,530 : 48,825 = 48,825 : x
  2. Step 2: Convert to fraction form
    31,530/48,825 = 48,825/x
  3. Step 3: Cross multiply
    31,530x = 48,825 × 48,825
  4. Step 4: Simplify right side
    31,530x = 2,383,880,625
  5. Step 5: Solve for x
    x = 2,383,880,625/31,530
  6. Step 6: Final answer
    x = 75,606.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.