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Finding the Third Proportional to 21,832 and 49,396

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Solution

The third proportional to 21,832 and 49,396 is: 111,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832 : 49,396 = 49,396 : x
  2. Step 2: Convert to fraction form
    21,832/49,396 = 49,396/x
  3. Step 3: Cross multiply
    21,832x = 49,396 × 49,396
  4. Step 4: Simplify right side
    21,832x = 2,439,964,816
  5. Step 5: Solve for x
    x = 2,439,964,816/21,832
  6. Step 6: Final answer
    x = 111,760.94

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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.