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Finding the Third Proportional to 3,538.21 and 7,230.04

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Solution

The third proportional to 3,538.21 and 7,230.04 is: 14,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.21 : 7,230.04 = 7,230.04 : x
  2. Step 2: Convert to fraction form
    3,538.21/7,230.04 = 7,230.04/x
  3. Step 3: Cross multiply
    3,538.21x = 7,230.04 × 7,230.04
  4. Step 4: Simplify right side
    3,538.21x = 52,273,493.09
  5. Step 5: Solve for x
    x = 52,273,493.09/3,538.21
  6. Step 6: Final answer
    x = 14,773.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.