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Finding the Third Proportional to 5,674.50 and 8,519.63

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Solution

The third proportional to 5,674.50 and 8,519.63 is: 12,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.50 : 8,519.63 = 8,519.63 : x
  2. Step 2: Convert to fraction form
    5,674.50/8,519.63 = 8,519.63/x
  3. Step 3: Cross multiply
    5,674.50x = 8,519.63 × 8,519.63
  4. Step 4: Simplify right side
    5,674.50x = 72,584,010.14
  5. Step 5: Solve for x
    x = 72,584,010.14/5,674.50
  6. Step 6: Final answer
    x = 12,791.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.