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Finding the Third Proportional to 24,638 and 52,966

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Solution

The third proportional to 24,638 and 52,966 is: 113,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638 : 52,966 = 52,966 : x
  2. Step 2: Convert to fraction form
    24,638/52,966 = 52,966/x
  3. Step 3: Cross multiply
    24,638x = 52,966 × 52,966
  4. Step 4: Simplify right side
    24,638x = 2,805,397,156
  5. Step 5: Solve for x
    x = 2,805,397,156/24,638
  6. Step 6: Final answer
    x = 113,864.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.