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Finding the Third Proportional to 3,524.34 and 7,624.97

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Solution

The third proportional to 3,524.34 and 7,624.97 is: 16,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.34 : 7,624.97 = 7,624.97 : x
  2. Step 2: Convert to fraction form
    3,524.34/7,624.97 = 7,624.97/x
  3. Step 3: Cross multiply
    3,524.34x = 7,624.97 × 7,624.97
  4. Step 4: Simplify right side
    3,524.34x = 58,140,148.44
  5. Step 5: Solve for x
    x = 58,140,148.44/3,524.34
  6. Step 6: Final answer
    x = 16,496.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.