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Finding the Third Proportional to 36,711.56 and 57,231.56

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Solution

The third proportional to 36,711.56 and 57,231.56 is: 89,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,711.56 : 57,231.56 = 57,231.56 : x
  2. Step 2: Convert to fraction form
    36,711.56/57,231.56 = 57,231.56/x
  3. Step 3: Cross multiply
    36,711.56x = 57,231.56 × 57,231.56
  4. Step 4: Simplify right side
    36,711.56x = 3,275,451,746.19
  5. Step 5: Solve for x
    x = 3,275,451,746.19/36,711.56
  6. Step 6: Final answer
    x = 89,221.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.