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Finding the Third Proportional to 23,761 and 52,287

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Solution

The third proportional to 23,761 and 52,287 is: 115,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761 : 52,287 = 52,287 : x
  2. Step 2: Convert to fraction form
    23,761/52,287 = 52,287/x
  3. Step 3: Cross multiply
    23,761x = 52,287 × 52,287
  4. Step 4: Simplify right side
    23,761x = 2,733,930,369
  5. Step 5: Solve for x
    x = 2,733,930,369/23,761
  6. Step 6: Final answer
    x = 115,059.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.