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Finding the Third Proportional to 30,801 and 46,375

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Solution

The third proportional to 30,801 and 46,375 is: 69,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801 : 46,375 = 46,375 : x
  2. Step 2: Convert to fraction form
    30,801/46,375 = 46,375/x
  3. Step 3: Cross multiply
    30,801x = 46,375 × 46,375
  4. Step 4: Simplify right side
    30,801x = 2,150,640,625
  5. Step 5: Solve for x
    x = 2,150,640,625/30,801
  6. Step 6: Final answer
    x = 69,823.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.