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Finding the Third Proportional to 5,812 and 12,677

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Solution

The third proportional to 5,812 and 12,677 is: 27,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812 : 12,677 = 12,677 : x
  2. Step 2: Convert to fraction form
    5,812/12,677 = 12,677/x
  3. Step 3: Cross multiply
    5,812x = 12,677 × 12,677
  4. Step 4: Simplify right side
    5,812x = 160,706,329
  5. Step 5: Solve for x
    x = 160,706,329/5,812
  6. Step 6: Final answer
    x = 27,650.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.