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Finding the Third Proportional to 20,226 and 30,183

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Solution

The third proportional to 20,226 and 30,183 is: 45,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,226 : 30,183 = 30,183 : x
  2. Step 2: Convert to fraction form
    20,226/30,183 = 30,183/x
  3. Step 3: Cross multiply
    20,226x = 30,183 × 30,183
  4. Step 4: Simplify right side
    20,226x = 911,013,489
  5. Step 5: Solve for x
    x = 911,013,489/20,226
  6. Step 6: Final answer
    x = 45,041.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.