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Finding the Third Proportional to 2,170.69 and 3,363.28

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Solution

The third proportional to 2,170.69 and 3,363.28 is: 5,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.69 : 3,363.28 = 3,363.28 : x
  2. Step 2: Convert to fraction form
    2,170.69/3,363.28 = 3,363.28/x
  3. Step 3: Cross multiply
    2,170.69x = 3,363.28 × 3,363.28
  4. Step 4: Simplify right side
    2,170.69x = 11,311,660.77
  5. Step 5: Solve for x
    x = 11,311,660.77/2,170.69
  6. Step 6: Final answer
    x = 5,211.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.