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Finding the Third Proportional to 19,766.44 and 30,945.75

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Solution

The third proportional to 19,766.44 and 30,945.75 is: 48,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.44 : 30,945.75 = 30,945.75 : x
  2. Step 2: Convert to fraction form
    19,766.44/30,945.75 = 30,945.75/x
  3. Step 3: Cross multiply
    19,766.44x = 30,945.75 × 30,945.75
  4. Step 4: Simplify right side
    19,766.44x = 957,639,443.06
  5. Step 5: Solve for x
    x = 957,639,443.06/19,766.44
  6. Step 6: Final answer
    x = 48,447.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.