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Finding the Third Proportional to 32,212.69 and 69,771.38

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Solution

The third proportional to 32,212.69 and 69,771.38 is: 151,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,212.69 : 69,771.38 = 69,771.38 : x
  2. Step 2: Convert to fraction form
    32,212.69/69,771.38 = 69,771.38/x
  3. Step 3: Cross multiply
    32,212.69x = 69,771.38 × 69,771.38
  4. Step 4: Simplify right side
    32,212.69x = 4,868,044,769.39
  5. Step 5: Solve for x
    x = 4,868,044,769.39/32,212.69
  6. Step 6: Final answer
    x = 151,121.97

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