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Finding the Third Proportional to 22,814 and 35,183

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Solution

The third proportional to 22,814 and 35,183 is: 54,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814 : 35,183 = 35,183 : x
  2. Step 2: Convert to fraction form
    22,814/35,183 = 35,183/x
  3. Step 3: Cross multiply
    22,814x = 35,183 × 35,183
  4. Step 4: Simplify right side
    22,814x = 1,237,843,489
  5. Step 5: Solve for x
    x = 1,237,843,489/22,814
  6. Step 6: Final answer
    x = 54,258.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.