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Finding the Third Proportional to 39,188.81 and 84,665.25

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Solution

The third proportional to 39,188.81 and 84,665.25 is: 182,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,188.81 : 84,665.25 = 84,665.25 : x
  2. Step 2: Convert to fraction form
    39,188.81/84,665.25 = 84,665.25/x
  3. Step 3: Cross multiply
    39,188.81x = 84,665.25 × 84,665.25
  4. Step 4: Simplify right side
    39,188.81x = 7,168,204,557.56
  5. Step 5: Solve for x
    x = 7,168,204,557.56/39,188.81
  6. Step 6: Final answer
    x = 182,914.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.