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Finding the Third Proportional to 39,844 and 86,933

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Solution

The third proportional to 39,844 and 86,933 is: 189,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,844 : 86,933 = 86,933 : x
  2. Step 2: Convert to fraction form
    39,844/86,933 = 86,933/x
  3. Step 3: Cross multiply
    39,844x = 86,933 × 86,933
  4. Step 4: Simplify right side
    39,844x = 7,557,346,489
  5. Step 5: Solve for x
    x = 7,557,346,489/39,844
  6. Step 6: Final answer
    x = 189,673.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.