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Finding the Third Proportional to 33,484.50 and 51,904.69

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Solution

The third proportional to 33,484.50 and 51,904.69 is: 80,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,484.50 : 51,904.69 = 51,904.69 : x
  2. Step 2: Convert to fraction form
    33,484.50/51,904.69 = 51,904.69/x
  3. Step 3: Cross multiply
    33,484.50x = 51,904.69 × 51,904.69
  4. Step 4: Simplify right side
    33,484.50x = 2,694,096,584.47
  5. Step 5: Solve for x
    x = 2,694,096,584.47/33,484.50
  6. Step 6: Final answer
    x = 80,458.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.