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Finding the Third Proportional to 2,560 and 2,936

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Solution

The third proportional to 2,560 and 2,936 is: 3,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560 : 2,936 = 2,936 : x
  2. Step 2: Convert to fraction form
    2,560/2,936 = 2,936/x
  3. Step 3: Cross multiply
    2,560x = 2,936 × 2,936
  4. Step 4: Simplify right side
    2,560x = 8,620,096
  5. Step 5: Solve for x
    x = 8,620,096/2,560
  6. Step 6: Final answer
    x = 3,367.23

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.