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Finding the Third Proportional to 36,997.50 and 80,280

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Solution

The third proportional to 36,997.50 and 80,280 is: 174,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,997.50 : 80,280 = 80,280 : x
  2. Step 2: Convert to fraction form
    36,997.50/80,280 = 80,280/x
  3. Step 3: Cross multiply
    36,997.50x = 80,280 × 80,280
  4. Step 4: Simplify right side
    36,997.50x = 6,444,878,400
  5. Step 5: Solve for x
    x = 6,444,878,400/36,997.50
  6. Step 6: Final answer
    x = 174,197.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.