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Finding the Third Proportional to 6,091.50 and 11,427

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Solution

The third proportional to 6,091.50 and 11,427 is: 21,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.50 : 11,427 = 11,427 : x
  2. Step 2: Convert to fraction form
    6,091.50/11,427 = 11,427/x
  3. Step 3: Cross multiply
    6,091.50x = 11,427 × 11,427
  4. Step 4: Simplify right side
    6,091.50x = 130,576,329
  5. Step 5: Solve for x
    x = 130,576,329/6,091.50
  6. Step 6: Final answer
    x = 21,435.83

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.