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Finding the Third Proportional to 3,669.19 and 5,194.97

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Solution

The third proportional to 3,669.19 and 5,194.97 is: 7,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.19 : 5,194.97 = 5,194.97 : x
  2. Step 2: Convert to fraction form
    3,669.19/5,194.97 = 5,194.97/x
  3. Step 3: Cross multiply
    3,669.19x = 5,194.97 × 5,194.97
  4. Step 4: Simplify right side
    3,669.19x = 26,987,700.31
  5. Step 5: Solve for x
    x = 26,987,700.31/3,669.19
  6. Step 6: Final answer
    x = 7,355.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.