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Finding the Third Proportional to 19,766.25 and 30,945.38

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Solution

The third proportional to 19,766.25 and 30,945.38 is: 48,447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.25 : 30,945.38 = 30,945.38 : x
  2. Step 2: Convert to fraction form
    19,766.25/30,945.38 = 30,945.38/x
  3. Step 3: Cross multiply
    19,766.25x = 30,945.38 × 30,945.38
  4. Step 4: Simplify right side
    19,766.25x = 957,616,233.89
  5. Step 5: Solve for x
    x = 957,616,233.89/19,766.25
  6. Step 6: Final answer
    x = 48,447.04

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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.