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Finding the Third Proportional to 31,263.47 and 48,481.03

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Solution

The third proportional to 31,263.47 and 48,481.03 is: 75,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,263.47 : 48,481.03 = 48,481.03 : x
  2. Step 2: Convert to fraction form
    31,263.47/48,481.03 = 48,481.03/x
  3. Step 3: Cross multiply
    31,263.47x = 48,481.03 × 48,481.03
  4. Step 4: Simplify right side
    31,263.47x = 2,350,410,391.06
  5. Step 5: Solve for x
    x = 2,350,410,391.06/31,263.47
  6. Step 6: Final answer
    x = 75,180.73

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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.