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Finding the Third Proportional to 12,171.94 and 26,471.81

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Solution

The third proportional to 12,171.94 and 26,471.81 is: 57,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.94 : 26,471.81 = 26,471.81 : x
  2. Step 2: Convert to fraction form
    12,171.94/26,471.81 = 26,471.81/x
  3. Step 3: Cross multiply
    12,171.94x = 26,471.81 × 26,471.81
  4. Step 4: Simplify right side
    12,171.94x = 700,756,857.04
  5. Step 5: Solve for x
    x = 700,756,857.04/12,171.94
  6. Step 6: Final answer
    x = 57,571.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.