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Finding the Third Proportional to 13,589 and 28,653

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Solution

The third proportional to 13,589 and 28,653 is: 60,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589 : 28,653 = 28,653 : x
  2. Step 2: Convert to fraction form
    13,589/28,653 = 28,653/x
  3. Step 3: Cross multiply
    13,589x = 28,653 × 28,653
  4. Step 4: Simplify right side
    13,589x = 820,994,409
  5. Step 5: Solve for x
    x = 820,994,409/13,589
  6. Step 6: Final answer
    x = 60,416.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.