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Finding the Third Proportional to 42,933.94 and 91,572.75

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Solution

The third proportional to 42,933.94 and 91,572.75 is: 195,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,933.94 : 91,572.75 = 91,572.75 : x
  2. Step 2: Convert to fraction form
    42,933.94/91,572.75 = 91,572.75/x
  3. Step 3: Cross multiply
    42,933.94x = 91,572.75 × 91,572.75
  4. Step 4: Simplify right side
    42,933.94x = 8,385,568,542.56
  5. Step 5: Solve for x
    x = 8,385,568,542.56/42,933.94
  6. Step 6: Final answer
    x = 195,313.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.