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Finding the Third Proportional to 1,866 and 3,177

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Solution

The third proportional to 1,866 and 3,177 is: 5,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866 : 3,177 = 3,177 : x
  2. Step 2: Convert to fraction form
    1,866/3,177 = 3,177/x
  3. Step 3: Cross multiply
    1,866x = 3,177 × 3,177
  4. Step 4: Simplify right side
    1,866x = 10,093,329
  5. Step 5: Solve for x
    x = 10,093,329/1,866
  6. Step 6: Final answer
    x = 5,409.07

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.