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Finding the Third Proportional to 22,676 and 48,996

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Solution

The third proportional to 22,676 and 48,996 is: 105,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676 : 48,996 = 48,996 : x
  2. Step 2: Convert to fraction form
    22,676/48,996 = 48,996/x
  3. Step 3: Cross multiply
    22,676x = 48,996 × 48,996
  4. Step 4: Simplify right side
    22,676x = 2,400,608,016
  5. Step 5: Solve for x
    x = 2,400,608,016/22,676
  6. Step 6: Final answer
    x = 105,865.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.