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Finding the Third Proportional to 18,225 and 39,297.66

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Solution

The third proportional to 18,225 and 39,297.66 is: 84,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,225 : 39,297.66 = 39,297.66 : x
  2. Step 2: Convert to fraction form
    18,225/39,297.66 = 39,297.66/x
  3. Step 3: Cross multiply
    18,225x = 39,297.66 × 39,297.66
  4. Step 4: Simplify right side
    18,225x = 1,544,305,786.74
  5. Step 5: Solve for x
    x = 1,544,305,786.74/18,225
  6. Step 6: Final answer
    x = 84,735.57

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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.