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Finding the Third Proportional to 3,662.72 and 5,838.33

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Solution

The third proportional to 3,662.72 and 5,838.33 is: 9,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.72 : 5,838.33 = 5,838.33 : x
  2. Step 2: Convert to fraction form
    3,662.72/5,838.33 = 5,838.33/x
  3. Step 3: Cross multiply
    3,662.72x = 5,838.33 × 5,838.33
  4. Step 4: Simplify right side
    3,662.72x = 34,086,075.30
  5. Step 5: Solve for x
    x = 34,086,075.30/3,662.72
  6. Step 6: Final answer
    x = 9,306.22

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.