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Finding the Third Proportional to 11,205.71 and 24,382.88

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Solution

The third proportional to 11,205.71 and 24,382.88 is: 53,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.71 : 24,382.88 = 24,382.88 : x
  2. Step 2: Convert to fraction form
    11,205.71/24,382.88 = 24,382.88/x
  3. Step 3: Cross multiply
    11,205.71x = 24,382.88 × 24,382.88
  4. Step 4: Simplify right side
    11,205.71x = 594,524,771.85
  5. Step 5: Solve for x
    x = 594,524,771.85/11,205.71
  6. Step 6: Final answer
    x = 53,055.54

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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.