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Finding the Third Proportional to 1,435.62 and 3,161.97

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Solution

The third proportional to 1,435.62 and 3,161.97 is: 6,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.62 : 3,161.97 = 3,161.97 : x
  2. Step 2: Convert to fraction form
    1,435.62/3,161.97 = 3,161.97/x
  3. Step 3: Cross multiply
    1,435.62x = 3,161.97 × 3,161.97
  4. Step 4: Simplify right side
    1,435.62x = 9,998,030.94
  5. Step 5: Solve for x
    x = 9,998,030.94/1,435.62
  6. Step 6: Final answer
    x = 6,964.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.