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Finding the Third Proportional to 2,648 and 2,912

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Solution

The third proportional to 2,648 and 2,912 is: 3,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648 : 2,912 = 2,912 : x
  2. Step 2: Convert to fraction form
    2,648/2,912 = 2,912/x
  3. Step 3: Cross multiply
    2,648x = 2,912 × 2,912
  4. Step 4: Simplify right side
    2,648x = 8,479,744
  5. Step 5: Solve for x
    x = 8,479,744/2,648
  6. Step 6: Final answer
    x = 3,202.32

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.