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Finding the Third Proportional to 4,006.27 and 8,559.28

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Solution

The third proportional to 4,006.27 and 8,559.28 is: 18,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.27 : 8,559.28 = 8,559.28 : x
  2. Step 2: Convert to fraction form
    4,006.27/8,559.28 = 8,559.28/x
  3. Step 3: Cross multiply
    4,006.27x = 8,559.28 × 8,559.28
  4. Step 4: Simplify right side
    4,006.27x = 73,261,295.52
  5. Step 5: Solve for x
    x = 73,261,295.52/4,006.27
  6. Step 6: Final answer
    x = 18,286.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.