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Finding the Third Proportional to 11,584.69 and 25,293.09

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Solution

The third proportional to 11,584.69 and 25,293.09 is: 55,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.69 : 25,293.09 = 25,293.09 : x
  2. Step 2: Convert to fraction form
    11,584.69/25,293.09 = 25,293.09/x
  3. Step 3: Cross multiply
    11,584.69x = 25,293.09 × 25,293.09
  4. Step 4: Simplify right side
    11,584.69x = 639,740,591.45
  5. Step 5: Solve for x
    x = 639,740,591.45/11,584.69
  6. Step 6: Final answer
    x = 55,222.95

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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.