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Finding the Third Proportional to 3,527.72 and 7,524.56

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Solution

The third proportional to 3,527.72 and 7,524.56 is: 16,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.72 : 7,524.56 = 7,524.56 : x
  2. Step 2: Convert to fraction form
    3,527.72/7,524.56 = 7,524.56/x
  3. Step 3: Cross multiply
    3,527.72x = 7,524.56 × 7,524.56
  4. Step 4: Simplify right side
    3,527.72x = 56,619,040.82
  5. Step 5: Solve for x
    x = 56,619,040.82/3,527.72
  6. Step 6: Final answer
    x = 16,049.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.