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Finding the Third Proportional to 11,786.81 and 25,418.81

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Solution

The third proportional to 11,786.81 and 25,418.81 is: 54,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.81 : 25,418.81 = 25,418.81 : x
  2. Step 2: Convert to fraction form
    11,786.81/25,418.81 = 25,418.81/x
  3. Step 3: Cross multiply
    11,786.81x = 25,418.81 × 25,418.81
  4. Step 4: Simplify right side
    11,786.81x = 646,116,028.91
  5. Step 5: Solve for x
    x = 646,116,028.91/11,786.81
  6. Step 6: Final answer
    x = 54,816.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.