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Finding the Third Proportional to 34,224 and 51,194

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Solution

The third proportional to 34,224 and 51,194 is: 76,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,224 : 51,194 = 51,194 : x
  2. Step 2: Convert to fraction form
    34,224/51,194 = 51,194/x
  3. Step 3: Cross multiply
    34,224x = 51,194 × 51,194
  4. Step 4: Simplify right side
    34,224x = 2,620,825,636
  5. Step 5: Solve for x
    x = 2,620,825,636/34,224
  6. Step 6: Final answer
    x = 76,578.59

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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.