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Finding the Third Proportional to 37,600 and 50,608

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Solution

The third proportional to 37,600 and 50,608 is: 68,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,600 : 50,608 = 50,608 : x
  2. Step 2: Convert to fraction form
    37,600/50,608 = 50,608/x
  3. Step 3: Cross multiply
    37,600x = 50,608 × 50,608
  4. Step 4: Simplify right side
    37,600x = 2,561,169,664
  5. Step 5: Solve for x
    x = 2,561,169,664/37,600
  6. Step 6: Final answer
    x = 68,116.21

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.