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Finding the Third Proportional to 36,212.50 and 48,729

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Solution

The third proportional to 36,212.50 and 48,729 is: 65,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,212.50 : 48,729 = 48,729 : x
  2. Step 2: Convert to fraction form
    36,212.50/48,729 = 48,729/x
  3. Step 3: Cross multiply
    36,212.50x = 48,729 × 48,729
  4. Step 4: Simplify right side
    36,212.50x = 2,374,515,441
  5. Step 5: Solve for x
    x = 2,374,515,441/36,212.50
  6. Step 6: Final answer
    x = 65,571.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.