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Finding the Third Proportional to 3,177 and 4,277.25

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Solution

The third proportional to 3,177 and 4,277.25 is: 5,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177 : 4,277.25 = 4,277.25 : x
  2. Step 2: Convert to fraction form
    3,177/4,277.25 = 4,277.25/x
  3. Step 3: Cross multiply
    3,177x = 4,277.25 × 4,277.25
  4. Step 4: Simplify right side
    3,177x = 18,294,867.56
  5. Step 5: Solve for x
    x = 18,294,867.56/3,177
  6. Step 6: Final answer
    x = 5,758.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.