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Finding the Third Proportional to 20,846.25 and 49,179.75

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Solution

The third proportional to 20,846.25 and 49,179.75 is: 116,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846.25 : 49,179.75 = 49,179.75 : x
  2. Step 2: Convert to fraction form
    20,846.25/49,179.75 = 49,179.75/x
  3. Step 3: Cross multiply
    20,846.25x = 49,179.75 × 49,179.75
  4. Step 4: Simplify right side
    20,846.25x = 2,418,647,810.06
  5. Step 5: Solve for x
    x = 2,418,647,810.06/20,846.25
  6. Step 6: Final answer
    x = 116,023.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.