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Finding the Third Proportional to 36,968.25 and 57,917.25

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Solution

The third proportional to 36,968.25 and 57,917.25 is: 90,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968.25 : 57,917.25 = 57,917.25 : x
  2. Step 2: Convert to fraction form
    36,968.25/57,917.25 = 57,917.25/x
  3. Step 3: Cross multiply
    36,968.25x = 57,917.25 × 57,917.25
  4. Step 4: Simplify right side
    36,968.25x = 3,354,407,847.56
  5. Step 5: Solve for x
    x = 3,354,407,847.56/36,968.25
  6. Step 6: Final answer
    x = 90,737.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.