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Finding the Third Proportional to 12,754.65 and 19,144.79

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Solution

The third proportional to 12,754.65 and 19,144.79 is: 28,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.65 : 19,144.79 = 19,144.79 : x
  2. Step 2: Convert to fraction form
    12,754.65/19,144.79 = 19,144.79/x
  3. Step 3: Cross multiply
    12,754.65x = 19,144.79 × 19,144.79
  4. Step 4: Simplify right side
    12,754.65x = 366,523,097.82
  5. Step 5: Solve for x
    x = 366,523,097.82/12,754.65
  6. Step 6: Final answer
    x = 28,736.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.