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Finding the Third Proportional to 33,846 and 51,246

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Solution

The third proportional to 33,846 and 51,246 is: 77,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,846 : 51,246 = 51,246 : x
  2. Step 2: Convert to fraction form
    33,846/51,246 = 51,246/x
  3. Step 3: Cross multiply
    33,846x = 51,246 × 51,246
  4. Step 4: Simplify right side
    33,846x = 2,626,152,516
  5. Step 5: Solve for x
    x = 2,626,152,516/33,846
  6. Step 6: Final answer
    x = 77,591.22

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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.