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Finding the Third Proportional to 11,439 and 17,189.25

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Solution

The third proportional to 11,439 and 17,189.25 is: 25,830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439 : 17,189.25 = 17,189.25 : x
  2. Step 2: Convert to fraction form
    11,439/17,189.25 = 17,189.25/x
  3. Step 3: Cross multiply
    11,439x = 17,189.25 × 17,189.25
  4. Step 4: Simplify right side
    11,439x = 295,470,315.56
  5. Step 5: Solve for x
    x = 295,470,315.56/11,439
  6. Step 6: Final answer
    x = 25,830.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.