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Finding the Third Proportional to 5,816 and 13,956

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Solution

The third proportional to 5,816 and 13,956 is: 33,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816 : 13,956 = 13,956 : x
  2. Step 2: Convert to fraction form
    5,816/13,956 = 13,956/x
  3. Step 3: Cross multiply
    5,816x = 13,956 × 13,956
  4. Step 4: Simplify right side
    5,816x = 194,769,936
  5. Step 5: Solve for x
    x = 194,769,936/5,816
  6. Step 6: Final answer
    x = 33,488.64

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.