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Finding the Third Proportional to 11,583.28 and 25,245.56

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Solution

The third proportional to 11,583.28 and 25,245.56 is: 55,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.28 : 25,245.56 = 25,245.56 : x
  2. Step 2: Convert to fraction form
    11,583.28/25,245.56 = 25,245.56/x
  3. Step 3: Cross multiply
    11,583.28x = 25,245.56 × 25,245.56
  4. Step 4: Simplify right side
    11,583.28x = 637,338,425.94
  5. Step 5: Solve for x
    x = 637,338,425.94/11,583.28
  6. Step 6: Final answer
    x = 55,022.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.