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Finding the Third Proportional to 33,158 and 51,344

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Solution

The third proportional to 33,158 and 51,344 is: 79,504.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,158 : 51,344 = 51,344 : x
  2. Step 2: Convert to fraction form
    33,158/51,344 = 51,344/x
  3. Step 3: Cross multiply
    33,158x = 51,344 × 51,344
  4. Step 4: Simplify right side
    33,158x = 2,636,206,336
  5. Step 5: Solve for x
    x = 2,636,206,336/33,158
  6. Step 6: Final answer
    x = 79,504.38

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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.