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Finding the Third Proportional to 2,997 and 6,447

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Solution

The third proportional to 2,997 and 6,447 is: 13,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997 : 6,447 = 6,447 : x
  2. Step 2: Convert to fraction form
    2,997/6,447 = 6,447/x
  3. Step 3: Cross multiply
    2,997x = 6,447 × 6,447
  4. Step 4: Simplify right side
    2,997x = 41,563,809
  5. Step 5: Solve for x
    x = 41,563,809/2,997
  6. Step 6: Final answer
    x = 13,868.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.