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Finding the Third Proportional to 5,054.25 and 10,361.25

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Solution

The third proportional to 5,054.25 and 10,361.25 is: 21,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.25 : 10,361.25 = 10,361.25 : x
  2. Step 2: Convert to fraction form
    5,054.25/10,361.25 = 10,361.25/x
  3. Step 3: Cross multiply
    5,054.25x = 10,361.25 × 10,361.25
  4. Step 4: Simplify right side
    5,054.25x = 107,355,501.56
  5. Step 5: Solve for x
    x = 107,355,501.56/5,054.25
  6. Step 6: Final answer
    x = 21,240.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.