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Finding the Third Proportional to 20,950 and 29,873

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Solution

The third proportional to 20,950 and 29,873 is: 42,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,950 : 29,873 = 29,873 : x
  2. Step 2: Convert to fraction form
    20,950/29,873 = 29,873/x
  3. Step 3: Cross multiply
    20,950x = 29,873 × 29,873
  4. Step 4: Simplify right side
    20,950x = 892,396,129
  5. Step 5: Solve for x
    x = 892,396,129/20,950
  6. Step 6: Final answer
    x = 42,596.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.