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Finding the Third Proportional to 3,212.38 and 4,805.38

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Solution

The third proportional to 3,212.38 and 4,805.38 is: 7,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.38 : 4,805.38 = 4,805.38 : x
  2. Step 2: Convert to fraction form
    3,212.38/4,805.38 = 4,805.38/x
  3. Step 3: Cross multiply
    3,212.38x = 4,805.38 × 4,805.38
  4. Step 4: Simplify right side
    3,212.38x = 23,091,628.89
  5. Step 5: Solve for x
    x = 23,091,628.89/3,212.38
  6. Step 6: Final answer
    x = 7,188.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.