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Finding the Third Proportional to 21,467 and 44,893

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Solution

The third proportional to 21,467 and 44,893 is: 93,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,467 : 44,893 = 44,893 : x
  2. Step 2: Convert to fraction form
    21,467/44,893 = 44,893/x
  3. Step 3: Cross multiply
    21,467x = 44,893 × 44,893
  4. Step 4: Simplify right side
    21,467x = 2,015,381,449
  5. Step 5: Solve for x
    x = 2,015,381,449/21,467
  6. Step 6: Final answer
    x = 93,882.77

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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.