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Finding the Third Proportional to 12,768 and 19,074.75

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Solution

The third proportional to 12,768 and 19,074.75 is: 28,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768 : 19,074.75 = 19,074.75 : x
  2. Step 2: Convert to fraction form
    12,768/19,074.75 = 19,074.75/x
  3. Step 3: Cross multiply
    12,768x = 19,074.75 × 19,074.75
  4. Step 4: Simplify right side
    12,768x = 363,846,087.56
  5. Step 5: Solve for x
    x = 363,846,087.56/12,768
  6. Step 6: Final answer
    x = 28,496.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.