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Finding the Third Proportional to 11,538.70 and 17,284.64

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Solution

The third proportional to 11,538.70 and 17,284.64 is: 25,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.70 : 17,284.64 = 17,284.64 : x
  2. Step 2: Convert to fraction form
    11,538.70/17,284.64 = 17,284.64/x
  3. Step 3: Cross multiply
    11,538.70x = 17,284.64 × 17,284.64
  4. Step 4: Simplify right side
    11,538.70x = 298,758,801.54
  5. Step 5: Solve for x
    x = 298,758,801.54/11,538.70
  6. Step 6: Final answer
    x = 25,891.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.