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Finding the Third Proportional to 20,277 and 43,578

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Solution

The third proportional to 20,277 and 43,578 is: 93,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277 : 43,578 = 43,578 : x
  2. Step 2: Convert to fraction form
    20,277/43,578 = 43,578/x
  3. Step 3: Cross multiply
    20,277x = 43,578 × 43,578
  4. Step 4: Simplify right side
    20,277x = 1,899,042,084
  5. Step 5: Solve for x
    x = 1,899,042,084/20,277
  6. Step 6: Final answer
    x = 93,654.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.