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Finding the Third Proportional to 5,621.27 and 8,406.28

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Solution

The third proportional to 5,621.27 and 8,406.28 is: 12,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.27 : 8,406.28 = 8,406.28 : x
  2. Step 2: Convert to fraction form
    5,621.27/8,406.28 = 8,406.28/x
  3. Step 3: Cross multiply
    5,621.27x = 8,406.28 × 8,406.28
  4. Step 4: Simplify right side
    5,621.27x = 70,665,564.45
  5. Step 5: Solve for x
    x = 70,665,564.45/5,621.27
  6. Step 6: Final answer
    x = 12,571.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.