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Finding the Third Proportional to 1,646 and 3,962

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Solution

The third proportional to 1,646 and 3,962 is: 9,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646 : 3,962 = 3,962 : x
  2. Step 2: Convert to fraction form
    1,646/3,962 = 3,962/x
  3. Step 3: Cross multiply
    1,646x = 3,962 × 3,962
  4. Step 4: Simplify right side
    1,646x = 15,697,444
  5. Step 5: Solve for x
    x = 15,697,444/1,646
  6. Step 6: Final answer
    x = 9,536.72

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.