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Finding the Third Proportional to 7,674.75 and 8,484.75

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Solution

The third proportional to 7,674.75 and 8,484.75 is: 9,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.75 : 8,484.75 = 8,484.75 : x
  2. Step 2: Convert to fraction form
    7,674.75/8,484.75 = 8,484.75/x
  3. Step 3: Cross multiply
    7,674.75x = 8,484.75 × 8,484.75
  4. Step 4: Simplify right side
    7,674.75x = 71,990,982.56
  5. Step 5: Solve for x
    x = 71,990,982.56/7,674.75
  6. Step 6: Final answer
    x = 9,380.24

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.