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Finding the Third Proportional to 1,781 and 2,177

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Solution

The third proportional to 1,781 and 2,177 is: 2,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781 : 2,177 = 2,177 : x
  2. Step 2: Convert to fraction form
    1,781/2,177 = 2,177/x
  3. Step 3: Cross multiply
    1,781x = 2,177 × 2,177
  4. Step 4: Simplify right side
    1,781x = 4,739,329
  5. Step 5: Solve for x
    x = 4,739,329/1,781
  6. Step 6: Final answer
    x = 2,661.05

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.