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Finding the Third Proportional to 5,383.69 and 8,736.19

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Solution

The third proportional to 5,383.69 and 8,736.19 is: 14,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.69 : 8,736.19 = 8,736.19 : x
  2. Step 2: Convert to fraction form
    5,383.69/8,736.19 = 8,736.19/x
  3. Step 3: Cross multiply
    5,383.69x = 8,736.19 × 8,736.19
  4. Step 4: Simplify right side
    5,383.69x = 76,320,972.04
  5. Step 5: Solve for x
    x = 76,320,972.04/5,383.69
  6. Step 6: Final answer
    x = 14,176.34

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.