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Finding the Third Proportional to 21,482 and 48,449

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Solution

The third proportional to 21,482 and 48,449 is: 109,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,482 : 48,449 = 48,449 : x
  2. Step 2: Convert to fraction form
    21,482/48,449 = 48,449/x
  3. Step 3: Cross multiply
    21,482x = 48,449 × 48,449
  4. Step 4: Simplify right side
    21,482x = 2,347,305,601
  5. Step 5: Solve for x
    x = 2,347,305,601/21,482
  6. Step 6: Final answer
    x = 109,268.49

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.