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Finding the Third Proportional to 31,633 and 48,016

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Solution

The third proportional to 31,633 and 48,016 is: 72,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,633 : 48,016 = 48,016 : x
  2. Step 2: Convert to fraction form
    31,633/48,016 = 48,016/x
  3. Step 3: Cross multiply
    31,633x = 48,016 × 48,016
  4. Step 4: Simplify right side
    31,633x = 2,305,536,256
  5. Step 5: Solve for x
    x = 2,305,536,256/31,633
  6. Step 6: Final answer
    x = 72,883.90

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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.