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Finding the Third Proportional to 23,954 and 50,389

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Solution

The third proportional to 23,954 and 50,389 is: 105,996.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,954 : 50,389 = 50,389 : x
  2. Step 2: Convert to fraction form
    23,954/50,389 = 50,389/x
  3. Step 3: Cross multiply
    23,954x = 50,389 × 50,389
  4. Step 4: Simplify right side
    23,954x = 2,539,051,321
  5. Step 5: Solve for x
    x = 2,539,051,321/23,954
  6. Step 6: Final answer
    x = 105,996.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.