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Finding the Third Proportional to 12,928.78 and 19,150.17

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Solution

The third proportional to 12,928.78 and 19,150.17 is: 28,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928.78 : 19,150.17 = 19,150.17 : x
  2. Step 2: Convert to fraction form
    12,928.78/19,150.17 = 19,150.17/x
  3. Step 3: Cross multiply
    12,928.78x = 19,150.17 × 19,150.17
  4. Step 4: Simplify right side
    12,928.78x = 366,729,082.84
  5. Step 5: Solve for x
    x = 366,729,082.84/12,928.78
  6. Step 6: Final answer
    x = 28,365.33

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.