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Finding the Third Proportional to 5,158.69 and 11,195.72

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Solution

The third proportional to 5,158.69 and 11,195.72 is: 24,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.69 : 11,195.72 = 11,195.72 : x
  2. Step 2: Convert to fraction form
    5,158.69/11,195.72 = 11,195.72/x
  3. Step 3: Cross multiply
    5,158.69x = 11,195.72 × 11,195.72
  4. Step 4: Simplify right side
    5,158.69x = 125,344,118.33
  5. Step 5: Solve for x
    x = 125,344,118.33/5,158.69
  6. Step 6: Final answer
    x = 24,297.68

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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.