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Finding the Third Proportional to 5,538.56 and 8,220.94

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Solution

The third proportional to 5,538.56 and 8,220.94 is: 12,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.56 : 8,220.94 = 8,220.94 : x
  2. Step 2: Convert to fraction form
    5,538.56/8,220.94 = 8,220.94/x
  3. Step 3: Cross multiply
    5,538.56x = 8,220.94 × 8,220.94
  4. Step 4: Simplify right side
    5,538.56x = 67,583,813.38
  5. Step 5: Solve for x
    x = 67,583,813.38/5,538.56
  6. Step 6: Final answer
    x = 12,202.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.