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Finding the Third Proportional to 19,138.78 and 28,728.42

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Solution

The third proportional to 19,138.78 and 28,728.42 is: 43,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.78 : 28,728.42 = 28,728.42 : x
  2. Step 2: Convert to fraction form
    19,138.78/28,728.42 = 28,728.42/x
  3. Step 3: Cross multiply
    19,138.78x = 28,728.42 × 28,728.42
  4. Step 4: Simplify right side
    19,138.78x = 825,322,223.43
  5. Step 5: Solve for x
    x = 825,322,223.43/19,138.78
  6. Step 6: Final answer
    x = 43,123.03

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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.