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Finding the Third Proportional to 24,982 and 52,273

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Solution

The third proportional to 24,982 and 52,273 is: 109,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,982 : 52,273 = 52,273 : x
  2. Step 2: Convert to fraction form
    24,982/52,273 = 52,273/x
  3. Step 3: Cross multiply
    24,982x = 52,273 × 52,273
  4. Step 4: Simplify right side
    24,982x = 2,732,466,529
  5. Step 5: Solve for x
    x = 2,732,466,529/24,982
  6. Step 6: Final answer
    x = 109,377.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.