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Finding the Third Proportional to 2,426.25 and 3,433.69

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Solution

The third proportional to 2,426.25 and 3,433.69 is: 4,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.25 : 3,433.69 = 3,433.69 : x
  2. Step 2: Convert to fraction form
    2,426.25/3,433.69 = 3,433.69/x
  3. Step 3: Cross multiply
    2,426.25x = 3,433.69 × 3,433.69
  4. Step 4: Simplify right side
    2,426.25x = 11,790,209.85
  5. Step 5: Solve for x
    x = 11,790,209.85/2,426.25
  6. Step 6: Final answer
    x = 4,859.44

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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.