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Finding the Third Proportional to 7,678 and 8,494

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Solution

The third proportional to 7,678 and 8,494 is: 9,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678 : 8,494 = 8,494 : x
  2. Step 2: Convert to fraction form
    7,678/8,494 = 8,494/x
  3. Step 3: Cross multiply
    7,678x = 8,494 × 8,494
  4. Step 4: Simplify right side
    7,678x = 72,148,036
  5. Step 5: Solve for x
    x = 72,148,036/7,678
  6. Step 6: Final answer
    x = 9,396.72

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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.