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Finding the Third Proportional to 4,469.34 and 8,826.47

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Solution

The third proportional to 4,469.34 and 8,826.47 is: 17,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.34 : 8,826.47 = 8,826.47 : x
  2. Step 2: Convert to fraction form
    4,469.34/8,826.47 = 8,826.47/x
  3. Step 3: Cross multiply
    4,469.34x = 8,826.47 × 8,826.47
  4. Step 4: Simplify right side
    4,469.34x = 77,906,550.59
  5. Step 5: Solve for x
    x = 77,906,550.59/4,469.34
  6. Step 6: Final answer
    x = 17,431.32

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.