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Finding the Third Proportional to 37,973 and 50,398

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Solution

The third proportional to 37,973 and 50,398 is: 66,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,973 : 50,398 = 50,398 : x
  2. Step 2: Convert to fraction form
    37,973/50,398 = 50,398/x
  3. Step 3: Cross multiply
    37,973x = 50,398 × 50,398
  4. Step 4: Simplify right side
    37,973x = 2,539,958,404
  5. Step 5: Solve for x
    x = 2,539,958,404/37,973
  6. Step 6: Final answer
    x = 66,888.54

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.