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Finding the Third Proportional to 31,544.50 and 68,993

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Solution

The third proportional to 31,544.50 and 68,993 is: 150,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,544.50 : 68,993 = 68,993 : x
  2. Step 2: Convert to fraction form
    31,544.50/68,993 = 68,993/x
  3. Step 3: Cross multiply
    31,544.50x = 68,993 × 68,993
  4. Step 4: Simplify right side
    31,544.50x = 4,760,034,049
  5. Step 5: Solve for x
    x = 4,760,034,049/31,544.50
  6. Step 6: Final answer
    x = 150,899.02

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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.