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Finding the Third Proportional to 2,284 and 3,677

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Solution

The third proportional to 2,284 and 3,677 is: 5,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284 : 3,677 = 3,677 : x
  2. Step 2: Convert to fraction form
    2,284/3,677 = 3,677/x
  3. Step 3: Cross multiply
    2,284x = 3,677 × 3,677
  4. Step 4: Simplify right side
    2,284x = 13,520,329
  5. Step 5: Solve for x
    x = 13,520,329/2,284
  6. Step 6: Final answer
    x = 5,919.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.