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Finding the Third Proportional to 20,414.25 and 30,928.75

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Solution

The third proportional to 20,414.25 and 30,928.75 is: 46,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.25 : 30,928.75 = 30,928.75 : x
  2. Step 2: Convert to fraction form
    20,414.25/30,928.75 = 30,928.75/x
  3. Step 3: Cross multiply
    20,414.25x = 30,928.75 × 30,928.75
  4. Step 4: Simplify right side
    20,414.25x = 956,587,576.56
  5. Step 5: Solve for x
    x = 956,587,576.56/20,414.25
  6. Step 6: Final answer
    x = 46,858.82

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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.