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Finding the Third Proportional to 5,419.50 and 11,661

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Solution

The third proportional to 5,419.50 and 11,661 is: 25,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.50 : 11,661 = 11,661 : x
  2. Step 2: Convert to fraction form
    5,419.50/11,661 = 11,661/x
  3. Step 3: Cross multiply
    5,419.50x = 11,661 × 11,661
  4. Step 4: Simplify right side
    5,419.50x = 135,978,921
  5. Step 5: Solve for x
    x = 135,978,921/5,419.50
  6. Step 6: Final answer
    x = 25,090.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.