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Finding the Third Proportional to 3,012.82 and 4,664.46

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Solution

The third proportional to 3,012.82 and 4,664.46 is: 7,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.82 : 4,664.46 = 4,664.46 : x
  2. Step 2: Convert to fraction form
    3,012.82/4,664.46 = 4,664.46/x
  3. Step 3: Cross multiply
    3,012.82x = 4,664.46 × 4,664.46
  4. Step 4: Simplify right side
    3,012.82x = 21,757,195.84
  5. Step 5: Solve for x
    x = 21,757,195.84/3,012.82
  6. Step 6: Final answer
    x = 7,221.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.