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Finding the Third Proportional to 31,804.50 and 73,268.25

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Solution

The third proportional to 31,804.50 and 73,268.25 is: 168,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.50 : 73,268.25 = 73,268.25 : x
  2. Step 2: Convert to fraction form
    31,804.50/73,268.25 = 73,268.25/x
  3. Step 3: Cross multiply
    31,804.50x = 73,268.25 × 73,268.25
  4. Step 4: Simplify right side
    31,804.50x = 5,368,236,458.06
  5. Step 5: Solve for x
    x = 5,368,236,458.06/31,804.50
  6. Step 6: Final answer
    x = 168,788.58

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.