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Finding the Third Proportional to 4,589 and 6,711

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Solution

The third proportional to 4,589 and 6,711 is: 9,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589 : 6,711 = 6,711 : x
  2. Step 2: Convert to fraction form
    4,589/6,711 = 6,711/x
  3. Step 3: Cross multiply
    4,589x = 6,711 × 6,711
  4. Step 4: Simplify right side
    4,589x = 45,037,521
  5. Step 5: Solve for x
    x = 45,037,521/4,589
  6. Step 6: Final answer
    x = 9,814.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.