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Finding the Third Proportional to 12,268.88 and 19,458.38

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Solution

The third proportional to 12,268.88 and 19,458.38 is: 30,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.88 : 19,458.38 = 19,458.38 : x
  2. Step 2: Convert to fraction form
    12,268.88/19,458.38 = 19,458.38/x
  3. Step 3: Cross multiply
    12,268.88x = 19,458.38 × 19,458.38
  4. Step 4: Simplify right side
    12,268.88x = 378,628,357.64
  5. Step 5: Solve for x
    x = 378,628,357.64/12,268.88
  6. Step 6: Final answer
    x = 30,860.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.