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Finding the Third Proportional to 9,736.31 and 18,007.88

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Solution

The third proportional to 9,736.31 and 18,007.88 is: 33,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.31 : 18,007.88 = 18,007.88 : x
  2. Step 2: Convert to fraction form
    9,736.31/18,007.88 = 18,007.88/x
  3. Step 3: Cross multiply
    9,736.31x = 18,007.88 × 18,007.88
  4. Step 4: Simplify right side
    9,736.31x = 324,283,562.02
  5. Step 5: Solve for x
    x = 324,283,562.02/9,736.31
  6. Step 6: Final answer
    x = 33,306.61

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.