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Finding the Third Proportional to 5,286.94 and 11,277.56

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Solution

The third proportional to 5,286.94 and 11,277.56 is: 24,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.94 : 11,277.56 = 11,277.56 : x
  2. Step 2: Convert to fraction form
    5,286.94/11,277.56 = 11,277.56/x
  3. Step 3: Cross multiply
    5,286.94x = 11,277.56 × 11,277.56
  4. Step 4: Simplify right side
    5,286.94x = 127,183,415.94
  5. Step 5: Solve for x
    x = 127,183,415.94/5,286.94
  6. Step 6: Final answer
    x = 24,056.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.