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Finding the Third Proportional to 6,864 and 16,278

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Solution

The third proportional to 6,864 and 16,278 is: 38,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864 : 16,278 = 16,278 : x
  2. Step 2: Convert to fraction form
    6,864/16,278 = 16,278/x
  3. Step 3: Cross multiply
    6,864x = 16,278 × 16,278
  4. Step 4: Simplify right side
    6,864x = 264,973,284
  5. Step 5: Solve for x
    x = 264,973,284/6,864
  6. Step 6: Final answer
    x = 38,603.33

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.