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Finding the Third Proportional to 6,177 and 7,257

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Solution

The third proportional to 6,177 and 7,257 is: 8,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177 : 7,257 = 7,257 : x
  2. Step 2: Convert to fraction form
    6,177/7,257 = 7,257/x
  3. Step 3: Cross multiply
    6,177x = 7,257 × 7,257
  4. Step 4: Simplify right side
    6,177x = 52,664,049
  5. Step 5: Solve for x
    x = 52,664,049/6,177
  6. Step 6: Final answer
    x = 8,525.83

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.