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Finding the Third Proportional to 3,297.94 and 5,221.97

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Solution

The third proportional to 3,297.94 and 5,221.97 is: 8,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.94 : 5,221.97 = 5,221.97 : x
  2. Step 2: Convert to fraction form
    3,297.94/5,221.97 = 5,221.97/x
  3. Step 3: Cross multiply
    3,297.94x = 5,221.97 × 5,221.97
  4. Step 4: Simplify right side
    3,297.94x = 27,268,957.63
  5. Step 5: Solve for x
    x = 27,268,957.63/3,297.94
  6. Step 6: Final answer
    x = 8,268.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.