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Finding the Third Proportional to 3,414 and 5,220.19

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Solution

The third proportional to 3,414 and 5,220.19 is: 7,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414 : 5,220.19 = 5,220.19 : x
  2. Step 2: Convert to fraction form
    3,414/5,220.19 = 5,220.19/x
  3. Step 3: Cross multiply
    3,414x = 5,220.19 × 5,220.19
  4. Step 4: Simplify right side
    3,414x = 27,250,357.54
  5. Step 5: Solve for x
    x = 27,250,357.54/3,414
  6. Step 6: Final answer
    x = 7,981.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.