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Finding the Third Proportional to 6,177 and 11,670

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Solution

The third proportional to 6,177 and 11,670 is: 22,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177 : 11,670 = 11,670 : x
  2. Step 2: Convert to fraction form
    6,177/11,670 = 11,670/x
  3. Step 3: Cross multiply
    6,177x = 11,670 × 11,670
  4. Step 4: Simplify right side
    6,177x = 136,188,900
  5. Step 5: Solve for x
    x = 136,188,900/6,177
  6. Step 6: Final answer
    x = 22,047.74

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.