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Finding the Third Proportional to 23,939 and 51,431

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Solution

The third proportional to 23,939 and 51,431 is: 110,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,939 : 51,431 = 51,431 : x
  2. Step 2: Convert to fraction form
    23,939/51,431 = 51,431/x
  3. Step 3: Cross multiply
    23,939x = 51,431 × 51,431
  4. Step 4: Simplify right side
    23,939x = 2,645,147,761
  5. Step 5: Solve for x
    x = 2,645,147,761/23,939
  6. Step 6: Final answer
    x = 110,495.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.