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Finding the Third Proportional to 6,831 and 11,988

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Solution

The third proportional to 6,831 and 11,988 is: 21,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 11,988 = 11,988 : x
  2. Step 2: Convert to fraction form
    6,831/11,988 = 11,988/x
  3. Step 3: Cross multiply
    6,831x = 11,988 × 11,988
  4. Step 4: Simplify right side
    6,831x = 143,712,144
  5. Step 5: Solve for x
    x = 143,712,144/6,831
  6. Step 6: Final answer
    x = 21,038.23

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.