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Finding the Third Proportional to 11,049.75 and 24,023.25

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Solution

The third proportional to 11,049.75 and 24,023.25 is: 52,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.75 : 24,023.25 = 24,023.25 : x
  2. Step 2: Convert to fraction form
    11,049.75/24,023.25 = 24,023.25/x
  3. Step 3: Cross multiply
    11,049.75x = 24,023.25 × 24,023.25
  4. Step 4: Simplify right side
    11,049.75x = 577,116,540.56
  5. Step 5: Solve for x
    x = 577,116,540.56/11,049.75
  6. Step 6: Final answer
    x = 52,228.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.