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Finding the Third Proportional to 5,140.69 and 11,161.69

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Solution

The third proportional to 5,140.69 and 11,161.69 is: 24,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.69 : 11,161.69 = 11,161.69 : x
  2. Step 2: Convert to fraction form
    5,140.69/11,161.69 = 11,161.69/x
  3. Step 3: Cross multiply
    5,140.69x = 11,161.69 × 11,161.69
  4. Step 4: Simplify right side
    5,140.69x = 124,583,267.85
  5. Step 5: Solve for x
    x = 124,583,267.85/5,140.69
  6. Step 6: Final answer
    x = 24,234.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.