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Finding the Third Proportional to 5,212.69 and 11,591.16

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Solution

The third proportional to 5,212.69 and 11,591.16 is: 25,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.69 : 11,591.16 = 11,591.16 : x
  2. Step 2: Convert to fraction form
    5,212.69/11,591.16 = 11,591.16/x
  3. Step 3: Cross multiply
    5,212.69x = 11,591.16 × 11,591.16
  4. Step 4: Simplify right side
    5,212.69x = 134,354,903.21
  5. Step 5: Solve for x
    x = 134,354,903.21/5,212.69
  6. Step 6: Final answer
    x = 25,774.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.