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Finding the Third Proportional to 16,136 and 33,936

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Solution

The third proportional to 16,136 and 33,936 is: 71,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136 : 33,936 = 33,936 : x
  2. Step 2: Convert to fraction form
    16,136/33,936 = 33,936/x
  3. Step 3: Cross multiply
    16,136x = 33,936 × 33,936
  4. Step 4: Simplify right side
    16,136x = 1,151,652,096
  5. Step 5: Solve for x
    x = 1,151,652,096/16,136
  6. Step 6: Final answer
    x = 71,371.60

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.