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Finding the Third Proportional to 4,997 and 5,477

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Solution

The third proportional to 4,997 and 5,477 is: 6,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997 : 5,477 = 5,477 : x
  2. Step 2: Convert to fraction form
    4,997/5,477 = 5,477/x
  3. Step 3: Cross multiply
    4,997x = 5,477 × 5,477
  4. Step 4: Simplify right side
    4,997x = 29,997,529
  5. Step 5: Solve for x
    x = 29,997,529/4,997
  6. Step 6: Final answer
    x = 6,003.11

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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.