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Finding the Third Proportional to 21,734 and 52,339

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Solution

The third proportional to 21,734 and 52,339 is: 126,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,734 : 52,339 = 52,339 : x
  2. Step 2: Convert to fraction form
    21,734/52,339 = 52,339/x
  3. Step 3: Cross multiply
    21,734x = 52,339 × 52,339
  4. Step 4: Simplify right side
    21,734x = 2,739,370,921
  5. Step 5: Solve for x
    x = 2,739,370,921/21,734
  6. Step 6: Final answer
    x = 126,040.81

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.