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Finding the Third Proportional to 35,472.94 and 74,231.44

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Solution

The third proportional to 35,472.94 and 74,231.44 is: 155,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,472.94 : 74,231.44 = 74,231.44 : x
  2. Step 2: Convert to fraction form
    35,472.94/74,231.44 = 74,231.44/x
  3. Step 3: Cross multiply
    35,472.94x = 74,231.44 × 74,231.44
  4. Step 4: Simplify right side
    35,472.94x = 5,510,306,313.32
  5. Step 5: Solve for x
    x = 5,510,306,313.32/35,472.94
  6. Step 6: Final answer
    x = 155,338.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.