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Finding the Third Proportional to 39,693 and 84,843

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Solution

The third proportional to 39,693 and 84,843 is: 181,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,693 : 84,843 = 84,843 : x
  2. Step 2: Convert to fraction form
    39,693/84,843 = 84,843/x
  3. Step 3: Cross multiply
    39,693x = 84,843 × 84,843
  4. Step 4: Simplify right side
    39,693x = 7,198,334,649
  5. Step 5: Solve for x
    x = 7,198,334,649/39,693
  6. Step 6: Final answer
    x = 181,350.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.