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Finding the Third Proportional to 5,563.69 and 8,485.88

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Solution

The third proportional to 5,563.69 and 8,485.88 is: 12,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.69 : 8,485.88 = 8,485.88 : x
  2. Step 2: Convert to fraction form
    5,563.69/8,485.88 = 8,485.88/x
  3. Step 3: Cross multiply
    5,563.69x = 8,485.88 × 8,485.88
  4. Step 4: Simplify right side
    5,563.69x = 72,010,074.52
  5. Step 5: Solve for x
    x = 72,010,074.52/5,563.69
  6. Step 6: Final answer
    x = 12,942.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.