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Finding the Third Proportional to 5,768 and 11,899

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Solution

The third proportional to 5,768 and 11,899 is: 24,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768 : 11,899 = 11,899 : x
  2. Step 2: Convert to fraction form
    5,768/11,899 = 11,899/x
  3. Step 3: Cross multiply
    5,768x = 11,899 × 11,899
  4. Step 4: Simplify right side
    5,768x = 141,586,201
  5. Step 5: Solve for x
    x = 141,586,201/5,768
  6. Step 6: Final answer
    x = 24,546.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.