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Finding the Third Proportional to 4,034 and 5,379

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Solution

The third proportional to 4,034 and 5,379 is: 7,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034 : 5,379 = 5,379 : x
  2. Step 2: Convert to fraction form
    4,034/5,379 = 5,379/x
  3. Step 3: Cross multiply
    4,034x = 5,379 × 5,379
  4. Step 4: Simplify right side
    4,034x = 28,933,641
  5. Step 5: Solve for x
    x = 28,933,641/4,034
  6. Step 6: Final answer
    x = 7,172.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.