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Finding the Third Proportional to 1,781 and 3,677

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Solution

The third proportional to 1,781 and 3,677 is: 7,591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781 : 3,677 = 3,677 : x
  2. Step 2: Convert to fraction form
    1,781/3,677 = 3,677/x
  3. Step 3: Cross multiply
    1,781x = 3,677 × 3,677
  4. Step 4: Simplify right side
    1,781x = 13,520,329
  5. Step 5: Solve for x
    x = 13,520,329/1,781
  6. Step 6: Final answer
    x = 7,591.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.