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Finding the Third Proportional to 51,933 and 84,794

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Solution

The third proportional to 51,933 and 84,794 is: 138,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,933 : 84,794 = 84,794 : x
  2. Step 2: Convert to fraction form
    51,933/84,794 = 84,794/x
  3. Step 3: Cross multiply
    51,933x = 84,794 × 84,794
  4. Step 4: Simplify right side
    51,933x = 7,190,022,436
  5. Step 5: Solve for x
    x = 7,190,022,436/51,933
  6. Step 6: Final answer
    x = 138,448.05

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.