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Finding the Third Proportional to 36,366.50 and 57,832

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Solution

The third proportional to 36,366.50 and 57,832 is: 91,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,366.50 : 57,832 = 57,832 : x
  2. Step 2: Convert to fraction form
    36,366.50/57,832 = 57,832/x
  3. Step 3: Cross multiply
    36,366.50x = 57,832 × 57,832
  4. Step 4: Simplify right side
    36,366.50x = 3,344,540,224
  5. Step 5: Solve for x
    x = 3,344,540,224/36,366.50
  6. Step 6: Final answer
    x = 91,967.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.