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Finding the Third Proportional to 3,596.91 and 5,724.42

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Solution

The third proportional to 3,596.91 and 5,724.42 is: 9,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.91 : 5,724.42 = 5,724.42 : x
  2. Step 2: Convert to fraction form
    3,596.91/5,724.42 = 5,724.42/x
  3. Step 3: Cross multiply
    3,596.91x = 5,724.42 × 5,724.42
  4. Step 4: Simplify right side
    3,596.91x = 32,769,005.80
  5. Step 5: Solve for x
    x = 32,769,005.80/3,596.91
  6. Step 6: Final answer
    x = 9,110.33

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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.