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Finding the Third Proportional to 20,058 and 31,183

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Solution

The third proportional to 20,058 and 31,183 is: 48,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058 : 31,183 = 31,183 : x
  2. Step 2: Convert to fraction form
    20,058/31,183 = 31,183/x
  3. Step 3: Cross multiply
    20,058x = 31,183 × 31,183
  4. Step 4: Simplify right side
    20,058x = 972,379,489
  5. Step 5: Solve for x
    x = 972,379,489/20,058
  6. Step 6: Final answer
    x = 48,478.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.