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Finding the Third Proportional to 18,096.75 and 32,727.38

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Solution

The third proportional to 18,096.75 and 32,727.38 is: 59,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096.75 : 32,727.38 = 32,727.38 : x
  2. Step 2: Convert to fraction form
    18,096.75/32,727.38 = 32,727.38/x
  3. Step 3: Cross multiply
    18,096.75x = 32,727.38 × 32,727.38
  4. Step 4: Simplify right side
    18,096.75x = 1,071,081,074.39
  5. Step 5: Solve for x
    x = 1,071,081,074.39/18,096.75
  6. Step 6: Final answer
    x = 59,186.38

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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.