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Finding the Third Proportional to 6,009.75 and 12,944.25

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Solution

The third proportional to 6,009.75 and 12,944.25 is: 27,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.75 : 12,944.25 = 12,944.25 : x
  2. Step 2: Convert to fraction form
    6,009.75/12,944.25 = 12,944.25/x
  3. Step 3: Cross multiply
    6,009.75x = 12,944.25 × 12,944.25
  4. Step 4: Simplify right side
    6,009.75x = 167,553,608.06
  5. Step 5: Solve for x
    x = 167,553,608.06/6,009.75
  6. Step 6: Final answer
    x = 27,880.30

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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.