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Finding the Third Proportional to 11,019 and 17,200.50

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Solution

The third proportional to 11,019 and 17,200.50 is: 26,849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019 : 17,200.50 = 17,200.50 : x
  2. Step 2: Convert to fraction form
    11,019/17,200.50 = 17,200.50/x
  3. Step 3: Cross multiply
    11,019x = 17,200.50 × 17,200.50
  4. Step 4: Simplify right side
    11,019x = 295,857,200.25
  5. Step 5: Solve for x
    x = 295,857,200.25/11,019
  6. Step 6: Final answer
    x = 26,849.73

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.