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Finding the Third Proportional to 4,589 and 6,061

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Solution

The third proportional to 4,589 and 6,061 is: 8,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589 : 6,061 = 6,061 : x
  2. Step 2: Convert to fraction form
    4,589/6,061 = 6,061/x
  3. Step 3: Cross multiply
    4,589x = 6,061 × 6,061
  4. Step 4: Simplify right side
    4,589x = 36,735,721
  5. Step 5: Solve for x
    x = 36,735,721/4,589
  6. Step 6: Final answer
    x = 8,005.17

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.