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Finding the Third Proportional to 11,241.48 and 24,745.78

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Solution

The third proportional to 11,241.48 and 24,745.78 is: 54,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.48 : 24,745.78 = 24,745.78 : x
  2. Step 2: Convert to fraction form
    11,241.48/24,745.78 = 24,745.78/x
  3. Step 3: Cross multiply
    11,241.48x = 24,745.78 × 24,745.78
  4. Step 4: Simplify right side
    11,241.48x = 612,353,472.18
  5. Step 5: Solve for x
    x = 612,353,472.18/11,241.48
  6. Step 6: Final answer
    x = 54,472.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.