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Finding the Third Proportional to 34,690 and 52,279

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Solution

The third proportional to 34,690 and 52,279 is: 78,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,690 : 52,279 = 52,279 : x
  2. Step 2: Convert to fraction form
    34,690/52,279 = 52,279/x
  3. Step 3: Cross multiply
    34,690x = 52,279 × 52,279
  4. Step 4: Simplify right side
    34,690x = 2,733,093,841
  5. Step 5: Solve for x
    x = 2,733,093,841/34,690
  6. Step 6: Final answer
    x = 78,786.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.