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Finding the Third Proportional to 6,876 and 10,224

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Solution

The third proportional to 6,876 and 10,224 is: 15,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 10,224 = 10,224 : x
  2. Step 2: Convert to fraction form
    6,876/10,224 = 10,224/x
  3. Step 3: Cross multiply
    6,876x = 10,224 × 10,224
  4. Step 4: Simplify right side
    6,876x = 104,530,176
  5. Step 5: Solve for x
    x = 104,530,176/6,876
  6. Step 6: Final answer
    x = 15,202.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.