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Finding the Third Proportional to 32,163.75 and 69,828.75

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Solution

The third proportional to 32,163.75 and 69,828.75 is: 151,600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163.75 : 69,828.75 = 69,828.75 : x
  2. Step 2: Convert to fraction form
    32,163.75/69,828.75 = 69,828.75/x
  3. Step 3: Cross multiply
    32,163.75x = 69,828.75 × 69,828.75
  4. Step 4: Simplify right side
    32,163.75x = 4,876,054,326.56
  5. Step 5: Solve for x
    x = 4,876,054,326.56/32,163.75
  6. Step 6: Final answer
    x = 151,600.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.