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Finding the Third Proportional to 38,605.50 and 84,318.75

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Solution

The third proportional to 38,605.50 and 84,318.75 is: 184,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,605.50 : 84,318.75 = 84,318.75 : x
  2. Step 2: Convert to fraction form
    38,605.50/84,318.75 = 84,318.75/x
  3. Step 3: Cross multiply
    38,605.50x = 84,318.75 × 84,318.75
  4. Step 4: Simplify right side
    38,605.50x = 7,109,651,601.56
  5. Step 5: Solve for x
    x = 7,109,651,601.56/38,605.50
  6. Step 6: Final answer
    x = 184,161.62

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