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Finding the Third Proportional to 11,412 and 17,939.25

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Solution

The third proportional to 11,412 and 17,939.25 is: 28,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412 : 17,939.25 = 17,939.25 : x
  2. Step 2: Convert to fraction form
    11,412/17,939.25 = 17,939.25/x
  3. Step 3: Cross multiply
    11,412x = 17,939.25 × 17,939.25
  4. Step 4: Simplify right side
    11,412x = 321,816,690.56
  5. Step 5: Solve for x
    x = 321,816,690.56/11,412
  6. Step 6: Final answer
    x = 28,199.85

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.