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Finding the Third Proportional to 3,922.13 and 5,670.56

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Solution

The third proportional to 3,922.13 and 5,670.56 is: 8,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.13 : 5,670.56 = 5,670.56 : x
  2. Step 2: Convert to fraction form
    3,922.13/5,670.56 = 5,670.56/x
  3. Step 3: Cross multiply
    3,922.13x = 5,670.56 × 5,670.56
  4. Step 4: Simplify right side
    3,922.13x = 32,155,279.07
  5. Step 5: Solve for x
    x = 32,155,279.07/3,922.13
  6. Step 6: Final answer
    x = 8,198.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.