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Finding the Third Proportional to 6,876 and 13,224

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Solution

The third proportional to 6,876 and 13,224 is: 25,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 13,224 = 13,224 : x
  2. Step 2: Convert to fraction form
    6,876/13,224 = 13,224/x
  3. Step 3: Cross multiply
    6,876x = 13,224 × 13,224
  4. Step 4: Simplify right side
    6,876x = 174,874,176
  5. Step 5: Solve for x
    x = 174,874,176/6,876
  6. Step 6: Final answer
    x = 25,432.54

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.