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Finding the Third Proportional to 2,770 and 6,706

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Solution

The third proportional to 2,770 and 6,706 is: 16,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770 : 6,706 = 6,706 : x
  2. Step 2: Convert to fraction form
    2,770/6,706 = 6,706/x
  3. Step 3: Cross multiply
    2,770x = 6,706 × 6,706
  4. Step 4: Simplify right side
    2,770x = 44,970,436
  5. Step 5: Solve for x
    x = 44,970,436/2,770
  6. Step 6: Final answer
    x = 16,234.81

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.