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Finding the Third Proportional to 3,369.94 and 3,835.69

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Solution

The third proportional to 3,369.94 and 3,835.69 is: 4,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.94 : 3,835.69 = 3,835.69 : x
  2. Step 2: Convert to fraction form
    3,369.94/3,835.69 = 3,835.69/x
  3. Step 3: Cross multiply
    3,369.94x = 3,835.69 × 3,835.69
  4. Step 4: Simplify right side
    3,369.94x = 14,712,498.60
  5. Step 5: Solve for x
    x = 14,712,498.60/3,369.94
  6. Step 6: Final answer
    x = 4,365.81

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.