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Finding the Third Proportional to 8,553.94 and 9,647.44

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Solution

The third proportional to 8,553.94 and 9,647.44 is: 10,880.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.94 : 9,647.44 = 9,647.44 : x
  2. Step 2: Convert to fraction form
    8,553.94/9,647.44 = 9,647.44/x
  3. Step 3: Cross multiply
    8,553.94x = 9,647.44 × 9,647.44
  4. Step 4: Simplify right side
    8,553.94x = 93,073,050.32
  5. Step 5: Solve for x
    x = 93,073,050.32/8,553.94
  6. Step 6: Final answer
    x = 10,880.73

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.