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Finding the Third Proportional to 4,678 and 5,494

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Solution

The third proportional to 4,678 and 5,494 is: 6,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678 : 5,494 = 5,494 : x
  2. Step 2: Convert to fraction form
    4,678/5,494 = 5,494/x
  3. Step 3: Cross multiply
    4,678x = 5,494 × 5,494
  4. Step 4: Simplify right side
    4,678x = 30,184,036
  5. Step 5: Solve for x
    x = 30,184,036/4,678
  6. Step 6: Final answer
    x = 6,452.34

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.