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Finding the Third Proportional to 50,961.38 and 74,944.13

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Solution

The third proportional to 50,961.38 and 74,944.13 is: 110,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,961.38 : 74,944.13 = 74,944.13 : x
  2. Step 2: Convert to fraction form
    50,961.38/74,944.13 = 74,944.13/x
  3. Step 3: Cross multiply
    50,961.38x = 74,944.13 × 74,944.13
  4. Step 4: Simplify right side
    50,961.38x = 5,616,621,872.02
  5. Step 5: Solve for x
    x = 5,616,621,872.02/50,961.38
  6. Step 6: Final answer
    x = 110,213.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.