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Finding the Third Proportional to 6,177 and 10,866

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Solution

The third proportional to 6,177 and 10,866 is: 19,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177 : 10,866 = 10,866 : x
  2. Step 2: Convert to fraction form
    6,177/10,866 = 10,866/x
  3. Step 3: Cross multiply
    6,177x = 10,866 × 10,866
  4. Step 4: Simplify right side
    6,177x = 118,069,956
  5. Step 5: Solve for x
    x = 118,069,956/6,177
  6. Step 6: Final answer
    x = 19,114.45

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.