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Finding the Third Proportional to 19,109.25 and 25,949.63

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Solution

The third proportional to 19,109.25 and 25,949.63 is: 35,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,109.25 : 25,949.63 = 25,949.63 : x
  2. Step 2: Convert to fraction form
    19,109.25/25,949.63 = 25,949.63/x
  3. Step 3: Cross multiply
    19,109.25x = 25,949.63 × 25,949.63
  4. Step 4: Simplify right side
    19,109.25x = 673,383,037.64
  5. Step 5: Solve for x
    x = 673,383,037.64/19,109.25
  6. Step 6: Final answer
    x = 35,238.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.