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Finding the Third Proportional to 11,299 and 17,284.50

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Solution

The third proportional to 11,299 and 17,284.50 is: 26,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299 : 17,284.50 = 17,284.50 : x
  2. Step 2: Convert to fraction form
    11,299/17,284.50 = 17,284.50/x
  3. Step 3: Cross multiply
    11,299x = 17,284.50 × 17,284.50
  4. Step 4: Simplify right side
    11,299x = 298,753,940.25
  5. Step 5: Solve for x
    x = 298,753,940.25/11,299
  6. Step 6: Final answer
    x = 26,440.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.