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Finding the Third Proportional to 33,341 and 51,690

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Solution

The third proportional to 33,341 and 51,690 is: 80,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,341 : 51,690 = 51,690 : x
  2. Step 2: Convert to fraction form
    33,341/51,690 = 51,690/x
  3. Step 3: Cross multiply
    33,341x = 51,690 × 51,690
  4. Step 4: Simplify right side
    33,341x = 2,671,856,100
  5. Step 5: Solve for x
    x = 2,671,856,100/33,341
  6. Step 6: Final answer
    x = 80,137.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.