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Finding the Third Proportional to 2,361 and 2,997

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Solution

The third proportional to 2,361 and 2,997 is: 3,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361 : 2,997 = 2,997 : x
  2. Step 2: Convert to fraction form
    2,361/2,997 = 2,997/x
  3. Step 3: Cross multiply
    2,361x = 2,997 × 2,997
  4. Step 4: Simplify right side
    2,361x = 8,982,009
  5. Step 5: Solve for x
    x = 8,982,009/2,361
  6. Step 6: Final answer
    x = 3,804.32

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.