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Finding the Third Proportional to 24,161 and 51,034

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Solution

The third proportional to 24,161 and 51,034 is: 107,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,161 : 51,034 = 51,034 : x
  2. Step 2: Convert to fraction form
    24,161/51,034 = 51,034/x
  3. Step 3: Cross multiply
    24,161x = 51,034 × 51,034
  4. Step 4: Simplify right side
    24,161x = 2,604,469,156
  5. Step 5: Solve for x
    x = 2,604,469,156/24,161
  6. Step 6: Final answer
    x = 107,796.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.