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Finding the Third Proportional to 24,247 and 52,183

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Solution

The third proportional to 24,247 and 52,183 is: 112,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,247 : 52,183 = 52,183 : x
  2. Step 2: Convert to fraction form
    24,247/52,183 = 52,183/x
  3. Step 3: Cross multiply
    24,247x = 52,183 × 52,183
  4. Step 4: Simplify right side
    24,247x = 2,723,065,489
  5. Step 5: Solve for x
    x = 2,723,065,489/24,247
  6. Step 6: Final answer
    x = 112,305.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.