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Finding the Third Proportional to 6,032 and 12,832

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Solution

The third proportional to 6,032 and 12,832 is: 27,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032 : 12,832 = 12,832 : x
  2. Step 2: Convert to fraction form
    6,032/12,832 = 12,832/x
  3. Step 3: Cross multiply
    6,032x = 12,832 × 12,832
  4. Step 4: Simplify right side
    6,032x = 164,660,224
  5. Step 5: Solve for x
    x = 164,660,224/6,032
  6. Step 6: Final answer
    x = 27,297.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.