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Finding the Third Proportional to 8,209.69 and 12,023.44

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Solution

The third proportional to 8,209.69 and 12,023.44 is: 17,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.69 : 12,023.44 = 12,023.44 : x
  2. Step 2: Convert to fraction form
    8,209.69/12,023.44 = 12,023.44/x
  3. Step 3: Cross multiply
    8,209.69x = 12,023.44 × 12,023.44
  4. Step 4: Simplify right side
    8,209.69x = 144,563,049.32
  5. Step 5: Solve for x
    x = 144,563,049.32/8,209.69
  6. Step 6: Final answer
    x = 17,608.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.