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Finding the Third Proportional to 11,093.25 and 24,233.63

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Solution

The third proportional to 11,093.25 and 24,233.63 is: 52,939.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.25 : 24,233.63 = 24,233.63 : x
  2. Step 2: Convert to fraction form
    11,093.25/24,233.63 = 24,233.63/x
  3. Step 3: Cross multiply
    11,093.25x = 24,233.63 × 24,233.63
  4. Step 4: Simplify right side
    11,093.25x = 587,268,580.64
  5. Step 5: Solve for x
    x = 587,268,580.64/11,093.25
  6. Step 6: Final answer
    x = 52,939.27

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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.