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Finding the Third Proportional to 31,951.50 and 48,375

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Solution

The third proportional to 31,951.50 and 48,375 is: 73,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.50 : 48,375 = 48,375 : x
  2. Step 2: Convert to fraction form
    31,951.50/48,375 = 48,375/x
  3. Step 3: Cross multiply
    31,951.50x = 48,375 × 48,375
  4. Step 4: Simplify right side
    31,951.50x = 2,340,140,625
  5. Step 5: Solve for x
    x = 2,340,140,625/31,951.50
  6. Step 6: Final answer
    x = 73,240.40

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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.