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Finding the Third Proportional to 8,094 and 8,958

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Solution

The third proportional to 8,094 and 8,958 is: 9,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094 : 8,958 = 8,958 : x
  2. Step 2: Convert to fraction form
    8,094/8,958 = 8,958/x
  3. Step 3: Cross multiply
    8,094x = 8,958 × 8,958
  4. Step 4: Simplify right side
    8,094x = 80,245,764
  5. Step 5: Solve for x
    x = 80,245,764/8,094
  6. Step 6: Final answer
    x = 9,914.23

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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.