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Finding the Third Proportional to 5,786.44 and 12,027.38

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Solution

The third proportional to 5,786.44 and 12,027.38 is: 24,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.44 : 12,027.38 = 12,027.38 : x
  2. Step 2: Convert to fraction form
    5,786.44/12,027.38 = 12,027.38/x
  3. Step 3: Cross multiply
    5,786.44x = 12,027.38 × 12,027.38
  4. Step 4: Simplify right side
    5,786.44x = 144,657,749.39
  5. Step 5: Solve for x
    x = 144,657,749.39/5,786.44
  6. Step 6: Final answer
    x = 24,999.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.