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Finding the Third Proportional to 24,911 and 52,634

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Solution

The third proportional to 24,911 and 52,634 is: 111,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,911 : 52,634 = 52,634 : x
  2. Step 2: Convert to fraction form
    24,911/52,634 = 52,634/x
  3. Step 3: Cross multiply
    24,911x = 52,634 × 52,634
  4. Step 4: Simplify right side
    24,911x = 2,770,337,956
  5. Step 5: Solve for x
    x = 2,770,337,956/24,911
  6. Step 6: Final answer
    x = 111,209.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.