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Finding the Third Proportional to 31,324.22 and 48,469.96

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Solution

The third proportional to 31,324.22 and 48,469.96 is: 75,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324.22 : 48,469.96 = 48,469.96 : x
  2. Step 2: Convert to fraction form
    31,324.22/48,469.96 = 48,469.96/x
  3. Step 3: Cross multiply
    31,324.22x = 48,469.96 × 48,469.96
  4. Step 4: Simplify right side
    31,324.22x = 2,349,336,734.61
  5. Step 5: Solve for x
    x = 2,349,336,734.61/31,324.22
  6. Step 6: Final answer
    x = 75,000.65

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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.