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Finding the Third Proportional to 36,571.50 and 64,480.50

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Solution

The third proportional to 36,571.50 and 64,480.50 is: 113,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,571.50 : 64,480.50 = 64,480.50 : x
  2. Step 2: Convert to fraction form
    36,571.50/64,480.50 = 64,480.50/x
  3. Step 3: Cross multiply
    36,571.50x = 64,480.50 × 64,480.50
  4. Step 4: Simplify right side
    36,571.50x = 4,157,734,880.25
  5. Step 5: Solve for x
    x = 4,157,734,880.25/36,571.50
  6. Step 6: Final answer
    x = 113,687.84

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.