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Finding the Third Proportional to 3,472.03 and 5,421.09

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Solution

The third proportional to 3,472.03 and 5,421.09 is: 8,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.03 : 5,421.09 = 5,421.09 : x
  2. Step 2: Convert to fraction form
    3,472.03/5,421.09 = 5,421.09/x
  3. Step 3: Cross multiply
    3,472.03x = 5,421.09 × 5,421.09
  4. Step 4: Simplify right side
    3,472.03x = 29,388,257.45
  5. Step 5: Solve for x
    x = 29,388,257.45/3,472.03
  6. Step 6: Final answer
    x = 8,464.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.