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Finding the Third Proportional to 1,589 and 3,436

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Solution

The third proportional to 1,589 and 3,436 is: 7,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589 : 3,436 = 3,436 : x
  2. Step 2: Convert to fraction form
    1,589/3,436 = 3,436/x
  3. Step 3: Cross multiply
    1,589x = 3,436 × 3,436
  4. Step 4: Simplify right side
    1,589x = 11,806,096
  5. Step 5: Solve for x
    x = 11,806,096/1,589
  6. Step 6: Final answer
    x = 7,429.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.