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Finding the Third Proportional to 33,439.50 and 51,944.63

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Solution

The third proportional to 33,439.50 and 51,944.63 is: 80,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,439.50 : 51,944.63 = 51,944.63 : x
  2. Step 2: Convert to fraction form
    33,439.50/51,944.63 = 51,944.63/x
  3. Step 3: Cross multiply
    33,439.50x = 51,944.63 × 51,944.63
  4. Step 4: Simplify right side
    33,439.50x = 2,698,244,066.39
  5. Step 5: Solve for x
    x = 2,698,244,066.39/33,439.50
  6. Step 6: Final answer
    x = 80,690.32

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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.