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Finding the Third Proportional to 23,739 and 52,242

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Solution

The third proportional to 23,739 and 52,242 is: 114,968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,739 : 52,242 = 52,242 : x
  2. Step 2: Convert to fraction form
    23,739/52,242 = 52,242/x
  3. Step 3: Cross multiply
    23,739x = 52,242 × 52,242
  4. Step 4: Simplify right side
    23,739x = 2,729,226,564
  5. Step 5: Solve for x
    x = 2,729,226,564/23,739
  6. Step 6: Final answer
    x = 114,968.05

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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.