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Finding the Third Proportional to 31,193 and 46,749

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Solution

The third proportional to 31,193 and 46,749 is: 70,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,193 : 46,749 = 46,749 : x
  2. Step 2: Convert to fraction form
    31,193/46,749 = 46,749/x
  3. Step 3: Cross multiply
    31,193x = 46,749 × 46,749
  4. Step 4: Simplify right side
    31,193x = 2,185,469,001
  5. Step 5: Solve for x
    x = 2,185,469,001/31,193
  6. Step 6: Final answer
    x = 70,062.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.