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Finding the Third Proportional to 23,899 and 36,172

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Solution

The third proportional to 23,899 and 36,172 is: 54,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,899 : 36,172 = 36,172 : x
  2. Step 2: Convert to fraction form
    23,899/36,172 = 36,172/x
  3. Step 3: Cross multiply
    23,899x = 36,172 × 36,172
  4. Step 4: Simplify right side
    23,899x = 1,308,413,584
  5. Step 5: Solve for x
    x = 1,308,413,584/23,899
  6. Step 6: Final answer
    x = 54,747.63

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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.