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Finding the Third Proportional to 20,271.94 and 30,769.88

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Solution

The third proportional to 20,271.94 and 30,769.88 is: 46,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.94 : 30,769.88 = 30,769.88 : x
  2. Step 2: Convert to fraction form
    20,271.94/30,769.88 = 30,769.88/x
  3. Step 3: Cross multiply
    20,271.94x = 30,769.88 × 30,769.88
  4. Step 4: Simplify right side
    20,271.94x = 946,785,207.52
  5. Step 5: Solve for x
    x = 946,785,207.52/20,271.94
  6. Step 6: Final answer
    x = 46,704.23

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Why These Related Problems?

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