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Finding the Third Proportional to 4,896 and 11,704

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Solution

The third proportional to 4,896 and 11,704 is: 27,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896 : 11,704 = 11,704 : x
  2. Step 2: Convert to fraction form
    4,896/11,704 = 11,704/x
  3. Step 3: Cross multiply
    4,896x = 11,704 × 11,704
  4. Step 4: Simplify right side
    4,896x = 136,983,616
  5. Step 5: Solve for x
    x = 136,983,616/4,896
  6. Step 6: Final answer
    x = 27,978.68

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.