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Finding the Third Proportional to 6,869 and 11,924

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Solution

The third proportional to 6,869 and 11,924 is: 20,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869 : 11,924 = 11,924 : x
  2. Step 2: Convert to fraction form
    6,869/11,924 = 11,924/x
  3. Step 3: Cross multiply
    6,869x = 11,924 × 11,924
  4. Step 4: Simplify right side
    6,869x = 142,181,776
  5. Step 5: Solve for x
    x = 142,181,776/6,869
  6. Step 6: Final answer
    x = 20,699.05

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.