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Finding the Third Proportional to 3,012.82 and 6,172.45

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Solution

The third proportional to 3,012.82 and 6,172.45 is: 12,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.82 : 6,172.45 = 6,172.45 : x
  2. Step 2: Convert to fraction form
    3,012.82/6,172.45 = 6,172.45/x
  3. Step 3: Cross multiply
    3,012.82x = 6,172.45 × 6,172.45
  4. Step 4: Simplify right side
    3,012.82x = 38,099,177.58
  5. Step 5: Solve for x
    x = 38,099,177.58/3,012.82
  6. Step 6: Final answer
    x = 12,645.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.