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Finding the Third Proportional to 31,992.75 and 74,739.38

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Solution

The third proportional to 31,992.75 and 74,739.38 is: 174,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.75 : 74,739.38 = 74,739.38 : x
  2. Step 2: Convert to fraction form
    31,992.75/74,739.38 = 74,739.38/x
  3. Step 3: Cross multiply
    31,992.75x = 74,739.38 × 74,739.38
  4. Step 4: Simplify right side
    31,992.75x = 5,585,974,175.39
  5. Step 5: Solve for x
    x = 5,585,974,175.39/31,992.75
  6. Step 6: Final answer
    x = 174,601.25

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.