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Finding the Third Proportional to 31,481.44 and 47,525.34

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Solution

The third proportional to 31,481.44 and 47,525.34 is: 71,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.44 : 47,525.34 = 47,525.34 : x
  2. Step 2: Convert to fraction form
    31,481.44/47,525.34 = 47,525.34/x
  3. Step 3: Cross multiply
    31,481.44x = 47,525.34 × 47,525.34
  4. Step 4: Simplify right side
    31,481.44x = 2,258,658,298.56
  5. Step 5: Solve for x
    x = 2,258,658,298.56/31,481.44
  6. Step 6: Final answer
    x = 71,745.72

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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.