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Finding the Third Proportional to 20,305.69 and 30,876.19

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Solution

The third proportional to 20,305.69 and 30,876.19 is: 46,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.69 : 30,876.19 = 30,876.19 : x
  2. Step 2: Convert to fraction form
    20,305.69/30,876.19 = 30,876.19/x
  3. Step 3: Cross multiply
    20,305.69x = 30,876.19 × 30,876.19
  4. Step 4: Simplify right side
    20,305.69x = 953,338,954.54
  5. Step 5: Solve for x
    x = 953,338,954.54/20,305.69
  6. Step 6: Final answer
    x = 46,949.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.