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Finding the Third Proportional to 1,829 and 3,676

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Solution

The third proportional to 1,829 and 3,676 is: 7,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829 : 3,676 = 3,676 : x
  2. Step 2: Convert to fraction form
    1,829/3,676 = 3,676/x
  3. Step 3: Cross multiply
    1,829x = 3,676 × 3,676
  4. Step 4: Simplify right side
    1,829x = 13,512,976
  5. Step 5: Solve for x
    x = 13,512,976/1,829
  6. Step 6: Final answer
    x = 7,388.18

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.