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Finding the Third Proportional to 20,299 and 31,851

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Solution

The third proportional to 20,299 and 31,851 is: 49,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299 : 31,851 = 31,851 : x
  2. Step 2: Convert to fraction form
    20,299/31,851 = 31,851/x
  3. Step 3: Cross multiply
    20,299x = 31,851 × 31,851
  4. Step 4: Simplify right side
    20,299x = 1,014,486,201
  5. Step 5: Solve for x
    x = 1,014,486,201/20,299
  6. Step 6: Final answer
    x = 49,977.15

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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.