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Finding the Third Proportional to 33,894 and 51,279

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Solution

The third proportional to 33,894 and 51,279 is: 77,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,894 : 51,279 = 51,279 : x
  2. Step 2: Convert to fraction form
    33,894/51,279 = 51,279/x
  3. Step 3: Cross multiply
    33,894x = 51,279 × 51,279
  4. Step 4: Simplify right side
    33,894x = 2,629,535,841
  5. Step 5: Solve for x
    x = 2,629,535,841/33,894
  6. Step 6: Final answer
    x = 77,581.16

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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.