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Finding the Third Proportional to 7,998.75 and 19,379.25

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Solution

The third proportional to 7,998.75 and 19,379.25 is: 46,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.75 : 19,379.25 = 19,379.25 : x
  2. Step 2: Convert to fraction form
    7,998.75/19,379.25 = 19,379.25/x
  3. Step 3: Cross multiply
    7,998.75x = 19,379.25 × 19,379.25
  4. Step 4: Simplify right side
    7,998.75x = 375,555,330.56
  5. Step 5: Solve for x
    x = 375,555,330.56/7,998.75
  6. Step 6: Final answer
    x = 46,951.75

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.