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Finding the Third Proportional to 5,881.50 and 11,855.25

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Solution

The third proportional to 5,881.50 and 11,855.25 is: 23,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.50 : 11,855.25 = 11,855.25 : x
  2. Step 2: Convert to fraction form
    5,881.50/11,855.25 = 11,855.25/x
  3. Step 3: Cross multiply
    5,881.50x = 11,855.25 × 11,855.25
  4. Step 4: Simplify right side
    5,881.50x = 140,546,952.56
  5. Step 5: Solve for x
    x = 140,546,952.56/5,881.50
  6. Step 6: Final answer
    x = 23,896.45

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.