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Finding the Third Proportional to 20,024 and 31,427

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Solution

The third proportional to 20,024 and 31,427 is: 49,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024 : 31,427 = 31,427 : x
  2. Step 2: Convert to fraction form
    20,024/31,427 = 31,427/x
  3. Step 3: Cross multiply
    20,024x = 31,427 × 31,427
  4. Step 4: Simplify right side
    20,024x = 987,656,329
  5. Step 5: Solve for x
    x = 987,656,329/20,024
  6. Step 6: Final answer
    x = 49,323.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.