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Finding the Third Proportional to 12,556.75 and 19,455.38

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Solution

The third proportional to 12,556.75 and 19,455.38 is: 30,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556.75 : 19,455.38 = 19,455.38 : x
  2. Step 2: Convert to fraction form
    12,556.75/19,455.38 = 19,455.38/x
  3. Step 3: Cross multiply
    12,556.75x = 19,455.38 × 19,455.38
  4. Step 4: Simplify right side
    12,556.75x = 378,511,616.39
  5. Step 5: Solve for x
    x = 378,511,616.39/12,556.75
  6. Step 6: Final answer
    x = 30,144.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.