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Finding the Third Proportional to 23,778 and 50,610

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Solution

The third proportional to 23,778 and 50,610 is: 107,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778 : 50,610 = 50,610 : x
  2. Step 2: Convert to fraction form
    23,778/50,610 = 50,610/x
  3. Step 3: Cross multiply
    23,778x = 50,610 × 50,610
  4. Step 4: Simplify right side
    23,778x = 2,561,372,100
  5. Step 5: Solve for x
    x = 2,561,372,100/23,778
  6. Step 6: Final answer
    x = 107,720.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.