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Finding the Third Proportional to 3,972.09 and 5,270.91

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Solution

The third proportional to 3,972.09 and 5,270.91 is: 6,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.09 : 5,270.91 = 5,270.91 : x
  2. Step 2: Convert to fraction form
    3,972.09/5,270.91 = 5,270.91/x
  3. Step 3: Cross multiply
    3,972.09x = 5,270.91 × 5,270.91
  4. Step 4: Simplify right side
    3,972.09x = 27,782,452.70
  5. Step 5: Solve for x
    x = 27,782,452.70/3,972.09
  6. Step 6: Final answer
    x = 6,994.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.