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Finding the Third Proportional to 5,015.25 and 10,771.31

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Solution

The third proportional to 5,015.25 and 10,771.31 is: 23,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,015.25 : 10,771.31 = 10,771.31 : x
  2. Step 2: Convert to fraction form
    5,015.25/10,771.31 = 10,771.31/x
  3. Step 3: Cross multiply
    5,015.25x = 10,771.31 × 10,771.31
  4. Step 4: Simplify right side
    5,015.25x = 116,021,172.97
  5. Step 5: Solve for x
    x = 116,021,172.97/5,015.25
  6. Step 6: Final answer
    x = 23,133.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.