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Finding the Third Proportional to 2,814.75 and 4,967.44

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Solution

The third proportional to 2,814.75 and 4,967.44 is: 8,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.75 : 4,967.44 = 4,967.44 : x
  2. Step 2: Convert to fraction form
    2,814.75/4,967.44 = 4,967.44/x
  3. Step 3: Cross multiply
    2,814.75x = 4,967.44 × 4,967.44
  4. Step 4: Simplify right side
    2,814.75x = 24,675,435.32
  5. Step 5: Solve for x
    x = 24,675,435.32/2,814.75
  6. Step 6: Final answer
    x = 8,766.47

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.