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Finding the Third Proportional to 32,990.75 and 71,936

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Solution

The third proportional to 32,990.75 and 71,936 is: 156,855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990.75 : 71,936 = 71,936 : x
  2. Step 2: Convert to fraction form
    32,990.75/71,936 = 71,936/x
  3. Step 3: Cross multiply
    32,990.75x = 71,936 × 71,936
  4. Step 4: Simplify right side
    32,990.75x = 5,174,788,096
  5. Step 5: Solve for x
    x = 5,174,788,096/32,990.75
  6. Step 6: Final answer
    x = 156,855.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.