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Finding the Third Proportional to 2,273.06 and 3,412.97

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Solution

The third proportional to 2,273.06 and 3,412.97 is: 5,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.06 : 3,412.97 = 3,412.97 : x
  2. Step 2: Convert to fraction form
    2,273.06/3,412.97 = 3,412.97/x
  3. Step 3: Cross multiply
    2,273.06x = 3,412.97 × 3,412.97
  4. Step 4: Simplify right side
    2,273.06x = 11,648,355.69
  5. Step 5: Solve for x
    x = 11,648,355.69/2,273.06
  6. Step 6: Final answer
    x = 5,124.52

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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.