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Finding the Third Proportional to 35,472.94 and 76,327.31

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Solution

The third proportional to 35,472.94 and 76,327.31 is: 164,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,472.94 : 76,327.31 = 76,327.31 : x
  2. Step 2: Convert to fraction form
    35,472.94/76,327.31 = 76,327.31/x
  3. Step 3: Cross multiply
    35,472.94x = 76,327.31 × 76,327.31
  4. Step 4: Simplify right side
    35,472.94x = 5,825,858,633.47
  5. Step 5: Solve for x
    x = 5,825,858,633.47/35,472.94
  6. Step 6: Final answer
    x = 164,233.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.