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Finding the Third Proportional to 3,548.25 and 5,010.75

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Solution

The third proportional to 3,548.25 and 5,010.75 is: 7,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.25 : 5,010.75 = 5,010.75 : x
  2. Step 2: Convert to fraction form
    3,548.25/5,010.75 = 5,010.75/x
  3. Step 3: Cross multiply
    3,548.25x = 5,010.75 × 5,010.75
  4. Step 4: Simplify right side
    3,548.25x = 25,107,615.56
  5. Step 5: Solve for x
    x = 25,107,615.56/3,548.25
  6. Step 6: Final answer
    x = 7,076.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.