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Finding the Third Proportional to 34,660 and 52,302

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Solution

The third proportional to 34,660 and 52,302 is: 78,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,660 : 52,302 = 52,302 : x
  2. Step 2: Convert to fraction form
    34,660/52,302 = 52,302/x
  3. Step 3: Cross multiply
    34,660x = 52,302 × 52,302
  4. Step 4: Simplify right side
    34,660x = 2,735,499,204
  5. Step 5: Solve for x
    x = 2,735,499,204/34,660
  6. Step 6: Final answer
    x = 78,923.81

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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.