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Finding the Third Proportional to 25,986 and 57,268

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Solution

The third proportional to 25,986 and 57,268 is: 126,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,986 : 57,268 = 57,268 : x
  2. Step 2: Convert to fraction form
    25,986/57,268 = 57,268/x
  3. Step 3: Cross multiply
    25,986x = 57,268 × 57,268
  4. Step 4: Simplify right side
    25,986x = 3,279,623,824
  5. Step 5: Solve for x
    x = 3,279,623,824/25,986
  6. Step 6: Final answer
    x = 126,207.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.