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Finding the Third Proportional to 11,296.69 and 24,604.31

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Solution

The third proportional to 11,296.69 and 24,604.31 is: 53,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.69 : 24,604.31 = 24,604.31 : x
  2. Step 2: Convert to fraction form
    11,296.69/24,604.31 = 24,604.31/x
  3. Step 3: Cross multiply
    11,296.69x = 24,604.31 × 24,604.31
  4. Step 4: Simplify right side
    11,296.69x = 605,372,193.60
  5. Step 5: Solve for x
    x = 605,372,193.60/11,296.69
  6. Step 6: Final answer
    x = 53,588.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.