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Finding the Third Proportional to 19,107.25 and 25,483

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Solution

The third proportional to 19,107.25 and 25,483 is: 33,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,107.25 : 25,483 = 25,483 : x
  2. Step 2: Convert to fraction form
    19,107.25/25,483 = 25,483/x
  3. Step 3: Cross multiply
    19,107.25x = 25,483 × 25,483
  4. Step 4: Simplify right side
    19,107.25x = 649,383,289
  5. Step 5: Solve for x
    x = 649,383,289/19,107.25
  6. Step 6: Final answer
    x = 33,986.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.