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Finding the Third Proportional to 38,399.25 and 84,179.34

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Solution

The third proportional to 38,399.25 and 84,179.34 is: 184,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,399.25 : 84,179.34 = 84,179.34 : x
  2. Step 2: Convert to fraction form
    38,399.25/84,179.34 = 84,179.34/x
  3. Step 3: Cross multiply
    38,399.25x = 84,179.34 × 84,179.34
  4. Step 4: Simplify right side
    38,399.25x = 7,086,161,914.18
  5. Step 5: Solve for x
    x = 7,086,161,914.18/38,399.25
  6. Step 6: Final answer
    x = 184,539.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.