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Finding the Third Proportional to 21,288 and 43,183

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Solution

The third proportional to 21,288 and 43,183 is: 87,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,288 : 43,183 = 43,183 : x
  2. Step 2: Convert to fraction form
    21,288/43,183 = 43,183/x
  3. Step 3: Cross multiply
    21,288x = 43,183 × 43,183
  4. Step 4: Simplify right side
    21,288x = 1,864,771,489
  5. Step 5: Solve for x
    x = 1,864,771,489/21,288
  6. Step 6: Final answer
    x = 87,597.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.