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Finding the Third Proportional to 13,896.56 and 20,477.81

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Solution

The third proportional to 13,896.56 and 20,477.81 is: 30,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.56 : 20,477.81 = 20,477.81 : x
  2. Step 2: Convert to fraction form
    13,896.56/20,477.81 = 20,477.81/x
  3. Step 3: Cross multiply
    13,896.56x = 20,477.81 × 20,477.81
  4. Step 4: Simplify right side
    13,896.56x = 419,340,804.79
  5. Step 5: Solve for x
    x = 419,340,804.79/13,896.56
  6. Step 6: Final answer
    x = 30,175.87

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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.