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Finding the Third Proportional to 2,571.88 and 5,548.25

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Solution

The third proportional to 2,571.88 and 5,548.25 is: 11,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.88 : 5,548.25 = 5,548.25 : x
  2. Step 2: Convert to fraction form
    2,571.88/5,548.25 = 5,548.25/x
  3. Step 3: Cross multiply
    2,571.88x = 5,548.25 × 5,548.25
  4. Step 4: Simplify right side
    2,571.88x = 30,783,078.06
  5. Step 5: Solve for x
    x = 30,783,078.06/2,571.88
  6. Step 6: Final answer
    x = 11,969.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.