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Finding the Third Proportional to 4,738 and 6,997

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Solution

The third proportional to 4,738 and 6,997 is: 10,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738 : 6,997 = 6,997 : x
  2. Step 2: Convert to fraction form
    4,738/6,997 = 6,997/x
  3. Step 3: Cross multiply
    4,738x = 6,997 × 6,997
  4. Step 4: Simplify right side
    4,738x = 48,958,009
  5. Step 5: Solve for x
    x = 48,958,009/4,738
  6. Step 6: Final answer
    x = 10,333.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.