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Finding the Third Proportional to 36,674.50 and 80,094.25

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Solution

The third proportional to 36,674.50 and 80,094.25 is: 174,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,674.50 : 80,094.25 = 80,094.25 : x
  2. Step 2: Convert to fraction form
    36,674.50/80,094.25 = 80,094.25/x
  3. Step 3: Cross multiply
    36,674.50x = 80,094.25 × 80,094.25
  4. Step 4: Simplify right side
    36,674.50x = 6,415,088,883.06
  5. Step 5: Solve for x
    x = 6,415,088,883.06/36,674.50
  6. Step 6: Final answer
    x = 174,919.60

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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.