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Finding the Third Proportional to 11,223.56 and 24,254.44

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Solution

The third proportional to 11,223.56 and 24,254.44 is: 52,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.56 : 24,254.44 = 24,254.44 : x
  2. Step 2: Convert to fraction form
    11,223.56/24,254.44 = 24,254.44/x
  3. Step 3: Cross multiply
    11,223.56x = 24,254.44 × 24,254.44
  4. Step 4: Simplify right side
    11,223.56x = 588,277,738.44
  5. Step 5: Solve for x
    x = 588,277,738.44/11,223.56
  6. Step 6: Final answer
    x = 52,414.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.