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Finding the Third Proportional to 13,144.78 and 19,728.56

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Solution

The third proportional to 13,144.78 and 19,728.56 is: 29,609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.78 : 19,728.56 = 19,728.56 : x
  2. Step 2: Convert to fraction form
    13,144.78/19,728.56 = 19,728.56/x
  3. Step 3: Cross multiply
    13,144.78x = 19,728.56 × 19,728.56
  4. Step 4: Simplify right side
    13,144.78x = 389,216,178.32
  5. Step 5: Solve for x
    x = 389,216,178.32/13,144.78
  6. Step 6: Final answer
    x = 29,609.94

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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.