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Finding the Third Proportional to 5,892.75 and 11,956.36

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Solution

The third proportional to 5,892.75 and 11,956.36 is: 24,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.75 : 11,956.36 = 11,956.36 : x
  2. Step 2: Convert to fraction form
    5,892.75/11,956.36 = 11,956.36/x
  3. Step 3: Cross multiply
    5,892.75x = 11,956.36 × 11,956.36
  4. Step 4: Simplify right side
    5,892.75x = 142,954,529.50
  5. Step 5: Solve for x
    x = 142,954,529.50/5,892.75
  6. Step 6: Final answer
    x = 24,259.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.