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Finding the Third Proportional to 2,696 and 5,556

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Solution

The third proportional to 2,696 and 5,556 is: 11,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696 : 5,556 = 5,556 : x
  2. Step 2: Convert to fraction form
    2,696/5,556 = 5,556/x
  3. Step 3: Cross multiply
    2,696x = 5,556 × 5,556
  4. Step 4: Simplify right side
    2,696x = 30,869,136
  5. Step 5: Solve for x
    x = 30,869,136/2,696
  6. Step 6: Final answer
    x = 11,449.98

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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.