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Finding the Third Proportional to 3,926.81 and 5,328.56

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Solution

The third proportional to 3,926.81 and 5,328.56 is: 7,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.81 : 5,328.56 = 5,328.56 : x
  2. Step 2: Convert to fraction form
    3,926.81/5,328.56 = 5,328.56/x
  3. Step 3: Cross multiply
    3,926.81x = 5,328.56 × 5,328.56
  4. Step 4: Simplify right side
    3,926.81x = 28,393,578.32
  5. Step 5: Solve for x
    x = 28,393,578.32/3,926.81
  6. Step 6: Final answer
    x = 7,230.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.