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Finding the Third Proportional to 4,947.56 and 11,679.56

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Solution

The third proportional to 4,947.56 and 11,679.56 is: 27,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.56 : 11,679.56 = 11,679.56 : x
  2. Step 2: Convert to fraction form
    4,947.56/11,679.56 = 11,679.56/x
  3. Step 3: Cross multiply
    4,947.56x = 11,679.56 × 11,679.56
  4. Step 4: Simplify right side
    4,947.56x = 136,412,180.19
  5. Step 5: Solve for x
    x = 136,412,180.19/4,947.56
  6. Step 6: Final answer
    x = 27,571.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.