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Finding the Third Proportional to 13,238.44 and 19,451.81

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Solution

The third proportional to 13,238.44 and 19,451.81 is: 28,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.44 : 19,451.81 = 19,451.81 : x
  2. Step 2: Convert to fraction form
    13,238.44/19,451.81 = 19,451.81/x
  3. Step 3: Cross multiply
    13,238.44x = 19,451.81 × 19,451.81
  4. Step 4: Simplify right side
    13,238.44x = 378,373,009.54
  5. Step 5: Solve for x
    x = 378,373,009.54/13,238.44
  6. Step 6: Final answer
    x = 28,581.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.