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Finding the Third Proportional to 3,221.44 and 4,365.56

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Solution

The third proportional to 3,221.44 and 4,365.56 is: 5,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.44 : 4,365.56 = 4,365.56 : x
  2. Step 2: Convert to fraction form
    3,221.44/4,365.56 = 4,365.56/x
  3. Step 3: Cross multiply
    3,221.44x = 4,365.56 × 4,365.56
  4. Step 4: Simplify right side
    3,221.44x = 19,058,135.94
  5. Step 5: Solve for x
    x = 19,058,135.94/3,221.44
  6. Step 6: Final answer
    x = 5,916.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.