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Finding the Third Proportional to 24,566 and 52,634

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Solution

The third proportional to 24,566 and 52,634 is: 112,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,566 : 52,634 = 52,634 : x
  2. Step 2: Convert to fraction form
    24,566/52,634 = 52,634/x
  3. Step 3: Cross multiply
    24,566x = 52,634 × 52,634
  4. Step 4: Simplify right side
    24,566x = 2,770,337,956
  5. Step 5: Solve for x
    x = 2,770,337,956/24,566
  6. Step 6: Final answer
    x = 112,771.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.