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Finding the Third Proportional to 9,589.25 and 20,511.06

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Solution

The third proportional to 9,589.25 and 20,511.06 is: 43,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.25 : 20,511.06 = 20,511.06 : x
  2. Step 2: Convert to fraction form
    9,589.25/20,511.06 = 20,511.06/x
  3. Step 3: Cross multiply
    9,589.25x = 20,511.06 × 20,511.06
  4. Step 4: Simplify right side
    9,589.25x = 420,703,684.88
  5. Step 5: Solve for x
    x = 420,703,684.88/9,589.25
  6. Step 6: Final answer
    x = 43,872.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.