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Finding the Third Proportional to 10,441.69 and 16,157.11

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Solution

The third proportional to 10,441.69 and 16,157.11 is: 25,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.69 : 16,157.11 = 16,157.11 : x
  2. Step 2: Convert to fraction form
    10,441.69/16,157.11 = 16,157.11/x
  3. Step 3: Cross multiply
    10,441.69x = 16,157.11 × 16,157.11
  4. Step 4: Simplify right side
    10,441.69x = 261,052,183.36
  5. Step 5: Solve for x
    x = 261,052,183.36/10,441.69
  6. Step 6: Final answer
    x = 25,000.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.