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Finding the Third Proportional to 3,723 and 5,526

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Solution

The third proportional to 3,723 and 5,526 is: 8,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723 : 5,526 = 5,526 : x
  2. Step 2: Convert to fraction form
    3,723/5,526 = 5,526/x
  3. Step 3: Cross multiply
    3,723x = 5,526 × 5,526
  4. Step 4: Simplify right side
    3,723x = 30,536,676
  5. Step 5: Solve for x
    x = 30,536,676/3,723
  6. Step 6: Final answer
    x = 8,202.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.