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Finding the Third Proportional to 11,023.13 and 24,233.25

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Solution

The third proportional to 11,023.13 and 24,233.25 is: 53,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.13 : 24,233.25 = 24,233.25 : x
  2. Step 2: Convert to fraction form
    11,023.13/24,233.25 = 24,233.25/x
  3. Step 3: Cross multiply
    11,023.13x = 24,233.25 × 24,233.25
  4. Step 4: Simplify right side
    11,023.13x = 587,250,405.56
  5. Step 5: Solve for x
    x = 587,250,405.56/11,023.13
  6. Step 6: Final answer
    x = 53,274.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.