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Finding the Third Proportional to 10,676 and 21,608

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Solution

The third proportional to 10,676 and 21,608 is: 43,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676 : 21,608 = 21,608 : x
  2. Step 2: Convert to fraction form
    10,676/21,608 = 21,608/x
  3. Step 3: Cross multiply
    10,676x = 21,608 × 21,608
  4. Step 4: Simplify right side
    10,676x = 466,905,664
  5. Step 5: Solve for x
    x = 466,905,664/10,676
  6. Step 6: Final answer
    x = 43,734.14

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.