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Finding the Third Proportional to 34,214 and 51,183

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Solution

The third proportional to 34,214 and 51,183 is: 76,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,214 : 51,183 = 51,183 : x
  2. Step 2: Convert to fraction form
    34,214/51,183 = 51,183/x
  3. Step 3: Cross multiply
    34,214x = 51,183 × 51,183
  4. Step 4: Simplify right side
    34,214x = 2,619,699,489
  5. Step 5: Solve for x
    x = 2,619,699,489/34,214
  6. Step 6: Final answer
    x = 76,568.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.