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Finding the Third Proportional to 11,288.11 and 24,729.05

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Solution

The third proportional to 11,288.11 and 24,729.05 is: 54,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.11 : 24,729.05 = 24,729.05 : x
  2. Step 2: Convert to fraction form
    11,288.11/24,729.05 = 24,729.05/x
  3. Step 3: Cross multiply
    11,288.11x = 24,729.05 × 24,729.05
  4. Step 4: Simplify right side
    11,288.11x = 611,525,759.35
  5. Step 5: Solve for x
    x = 611,525,759.35/11,288.11
  6. Step 6: Final answer
    x = 54,174.33

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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.