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Finding the Third Proportional to 3,696 and 5,636

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Solution

The third proportional to 3,696 and 5,636 is: 8,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696 : 5,636 = 5,636 : x
  2. Step 2: Convert to fraction form
    3,696/5,636 = 5,636/x
  3. Step 3: Cross multiply
    3,696x = 5,636 × 5,636
  4. Step 4: Simplify right side
    3,696x = 31,764,496
  5. Step 5: Solve for x
    x = 31,764,496/3,696
  6. Step 6: Final answer
    x = 8,594.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.