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Finding the Third Proportional to 3,255.05 and 7,009.80

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Solution

The third proportional to 3,255.05 and 7,009.80 is: 15,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.05 : 7,009.80 = 7,009.80 : x
  2. Step 2: Convert to fraction form
    3,255.05/7,009.80 = 7,009.80/x
  3. Step 3: Cross multiply
    3,255.05x = 7,009.80 × 7,009.80
  4. Step 4: Simplify right side
    3,255.05x = 49,137,361.76
  5. Step 5: Solve for x
    x = 49,137,361.76/3,255.05
  6. Step 6: Final answer
    x = 15,095.75

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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.