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Finding the Third Proportional to 2,524 and 3,694

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Solution

The third proportional to 2,524 and 3,694 is: 5,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524 : 3,694 = 3,694 : x
  2. Step 2: Convert to fraction form
    2,524/3,694 = 3,694/x
  3. Step 3: Cross multiply
    2,524x = 3,694 × 3,694
  4. Step 4: Simplify right side
    2,524x = 13,645,636
  5. Step 5: Solve for x
    x = 13,645,636/2,524
  6. Step 6: Final answer
    x = 5,406.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.