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Finding the Third Proportional to 35,254 and 50,936

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Solution

The third proportional to 35,254 and 50,936 is: 73,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,254 : 50,936 = 50,936 : x
  2. Step 2: Convert to fraction form
    35,254/50,936 = 50,936/x
  3. Step 3: Cross multiply
    35,254x = 50,936 × 50,936
  4. Step 4: Simplify right side
    35,254x = 2,594,476,096
  5. Step 5: Solve for x
    x = 2,594,476,096/35,254
  6. Step 6: Final answer
    x = 73,593.81

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.