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Finding the Third Proportional to 20,364.75 and 30,938.63

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Solution

The third proportional to 20,364.75 and 30,938.63 is: 47,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,364.75 : 30,938.63 = 30,938.63 : x
  2. Step 2: Convert to fraction form
    20,364.75/30,938.63 = 30,938.63/x
  3. Step 3: Cross multiply
    20,364.75x = 30,938.63 × 30,938.63
  4. Step 4: Simplify right side
    20,364.75x = 957,198,516.89
  5. Step 5: Solve for x
    x = 957,198,516.89/20,364.75
  6. Step 6: Final answer
    x = 47,002.71

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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.