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Finding the Third Proportional to 23,978 and 36,305

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Solution

The third proportional to 23,978 and 36,305 is: 54,969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978 : 36,305 = 36,305 : x
  2. Step 2: Convert to fraction form
    23,978/36,305 = 36,305/x
  3. Step 3: Cross multiply
    23,978x = 36,305 × 36,305
  4. Step 4: Simplify right side
    23,978x = 1,318,053,025
  5. Step 5: Solve for x
    x = 1,318,053,025/23,978
  6. Step 6: Final answer
    x = 54,969.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.