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Finding the Third Proportional to 34,198 and 51,297

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Solution

The third proportional to 34,198 and 51,297 is: 76,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,198 : 51,297 = 51,297 : x
  2. Step 2: Convert to fraction form
    34,198/51,297 = 51,297/x
  3. Step 3: Cross multiply
    34,198x = 51,297 × 51,297
  4. Step 4: Simplify right side
    34,198x = 2,631,382,209
  5. Step 5: Solve for x
    x = 2,631,382,209/34,198
  6. Step 6: Final answer
    x = 76,945.50

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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.