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Finding the Third Proportional to 36,480.50 and 52,416.75

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Solution

The third proportional to 36,480.50 and 52,416.75 is: 75,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,480.50 : 52,416.75 = 52,416.75 : x
  2. Step 2: Convert to fraction form
    36,480.50/52,416.75 = 52,416.75/x
  3. Step 3: Cross multiply
    36,480.50x = 52,416.75 × 52,416.75
  4. Step 4: Simplify right side
    36,480.50x = 2,747,515,680.56
  5. Step 5: Solve for x
    x = 2,747,515,680.56/36,480.50
  6. Step 6: Final answer
    x = 75,314.64

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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.