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Finding the Third Proportional to 3,596.06 and 7,804.69

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Solution

The third proportional to 3,596.06 and 7,804.69 is: 16,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.06 : 7,804.69 = 7,804.69 : x
  2. Step 2: Convert to fraction form
    3,596.06/7,804.69 = 7,804.69/x
  3. Step 3: Cross multiply
    3,596.06x = 7,804.69 × 7,804.69
  4. Step 4: Simplify right side
    3,596.06x = 60,913,146.97
  5. Step 5: Solve for x
    x = 60,913,146.97/3,596.06
  6. Step 6: Final answer
    x = 16,938.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.