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Finding the Third Proportional to 2,441 and 2,807

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Solution

The third proportional to 2,441 and 2,807 is: 3,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441 : 2,807 = 2,807 : x
  2. Step 2: Convert to fraction form
    2,441/2,807 = 2,807/x
  3. Step 3: Cross multiply
    2,441x = 2,807 × 2,807
  4. Step 4: Simplify right side
    2,441x = 7,879,249
  5. Step 5: Solve for x
    x = 7,879,249/2,441
  6. Step 6: Final answer
    x = 3,227.88

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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.