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Finding the Third Proportional to 11,832.53 and 25,243.72

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Solution

The third proportional to 11,832.53 and 25,243.72 is: 53,855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.53 : 25,243.72 = 25,243.72 : x
  2. Step 2: Convert to fraction form
    11,832.53/25,243.72 = 25,243.72/x
  3. Step 3: Cross multiply
    11,832.53x = 25,243.72 × 25,243.72
  4. Step 4: Simplify right side
    11,832.53x = 637,245,336.33
  5. Step 5: Solve for x
    x = 637,245,336.33/11,832.53
  6. Step 6: Final answer
    x = 53,855.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.