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Finding the Third Proportional to 7,382.81 and 15,857.44

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Solution

The third proportional to 7,382.81 and 15,857.44 is: 34,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.81 : 15,857.44 = 15,857.44 : x
  2. Step 2: Convert to fraction form
    7,382.81/15,857.44 = 15,857.44/x
  3. Step 3: Cross multiply
    7,382.81x = 15,857.44 × 15,857.44
  4. Step 4: Simplify right side
    7,382.81x = 251,458,324.07
  5. Step 5: Solve for x
    x = 251,458,324.07/7,382.81
  6. Step 6: Final answer
    x = 34,059.96

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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.