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Finding the Third Proportional to 31,739.75 and 48,233

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Solution

The third proportional to 31,739.75 and 48,233 is: 73,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,739.75 : 48,233 = 48,233 : x
  2. Step 2: Convert to fraction form
    31,739.75/48,233 = 48,233/x
  3. Step 3: Cross multiply
    31,739.75x = 48,233 × 48,233
  4. Step 4: Simplify right side
    31,739.75x = 2,326,422,289
  5. Step 5: Solve for x
    x = 2,326,422,289/31,739.75
  6. Step 6: Final answer
    x = 73,296.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.