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Finding the Third Proportional to 3,676 and 5,690

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Solution

The third proportional to 3,676 and 5,690 is: 8,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676 : 5,690 = 5,690 : x
  2. Step 2: Convert to fraction form
    3,676/5,690 = 5,690/x
  3. Step 3: Cross multiply
    3,676x = 5,690 × 5,690
  4. Step 4: Simplify right side
    3,676x = 32,376,100
  5. Step 5: Solve for x
    x = 32,376,100/3,676
  6. Step 6: Final answer
    x = 8,807.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.