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Finding the Third Proportional to 1,202.16 and 1,879.17

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Solution

The third proportional to 1,202.16 and 1,879.17 is: 2,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.16 : 1,879.17 = 1,879.17 : x
  2. Step 2: Convert to fraction form
    1,202.16/1,879.17 = 1,879.17/x
  3. Step 3: Cross multiply
    1,202.16x = 1,879.17 × 1,879.17
  4. Step 4: Simplify right side
    1,202.16x = 3,531,286.94
  5. Step 5: Solve for x
    x = 3,531,286.94/1,202.16
  6. Step 6: Final answer
    x = 2,937.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.