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Finding the Third Proportional to 3,835.79 and 5,433.33

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Solution

The third proportional to 3,835.79 and 5,433.33 is: 7,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.79 : 5,433.33 = 5,433.33 : x
  2. Step 2: Convert to fraction form
    3,835.79/5,433.33 = 5,433.33/x
  3. Step 3: Cross multiply
    3,835.79x = 5,433.33 × 5,433.33
  4. Step 4: Simplify right side
    3,835.79x = 29,521,054.51
  5. Step 5: Solve for x
    x = 29,521,054.51/3,835.79
  6. Step 6: Final answer
    x = 7,696.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.