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Finding the Third Proportional to 6,147.14 and 13,251.09

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Solution

The third proportional to 6,147.14 and 13,251.09 is: 28,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.14 : 13,251.09 = 13,251.09 : x
  2. Step 2: Convert to fraction form
    6,147.14/13,251.09 = 13,251.09/x
  3. Step 3: Cross multiply
    6,147.14x = 13,251.09 × 13,251.09
  4. Step 4: Simplify right side
    6,147.14x = 175,591,485.57
  5. Step 5: Solve for x
    x = 175,591,485.57/6,147.14
  6. Step 6: Final answer
    x = 28,564.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.