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Finding the Third Proportional to 11,321.44 and 24,747.19

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Solution

The third proportional to 11,321.44 and 24,747.19 is: 54,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.44 : 24,747.19 = 24,747.19 : x
  2. Step 2: Convert to fraction form
    11,321.44/24,747.19 = 24,747.19/x
  3. Step 3: Cross multiply
    11,321.44x = 24,747.19 × 24,747.19
  4. Step 4: Simplify right side
    11,321.44x = 612,423,289.16
  5. Step 5: Solve for x
    x = 612,423,289.16/11,321.44
  6. Step 6: Final answer
    x = 54,094.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.