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Finding the Third Proportional to 3,401.44 and 5,202.56

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Solution

The third proportional to 3,401.44 and 5,202.56 is: 7,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.44 : 5,202.56 = 5,202.56 : x
  2. Step 2: Convert to fraction form
    3,401.44/5,202.56 = 5,202.56/x
  3. Step 3: Cross multiply
    3,401.44x = 5,202.56 × 5,202.56
  4. Step 4: Simplify right side
    3,401.44x = 27,066,656.57
  5. Step 5: Solve for x
    x = 27,066,656.57/3,401.44
  6. Step 6: Final answer
    x = 7,957.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.