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Finding the Third Proportional to 3,713.55 and 5,571.07

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Solution

The third proportional to 3,713.55 and 5,571.07 is: 8,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.55 : 5,571.07 = 5,571.07 : x
  2. Step 2: Convert to fraction form
    3,713.55/5,571.07 = 5,571.07/x
  3. Step 3: Cross multiply
    3,713.55x = 5,571.07 × 5,571.07
  4. Step 4: Simplify right side
    3,713.55x = 31,036,824.43
  5. Step 5: Solve for x
    x = 31,036,824.43/3,713.55
  6. Step 6: Final answer
    x = 8,357.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.