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Finding the Third Proportional to 11,325 and 16,890

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Solution

The third proportional to 11,325 and 16,890 is: 25,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,325 : 16,890 = 16,890 : x
  2. Step 2: Convert to fraction form
    11,325/16,890 = 16,890/x
  3. Step 3: Cross multiply
    11,325x = 16,890 × 16,890
  4. Step 4: Simplify right side
    11,325x = 285,272,100
  5. Step 5: Solve for x
    x = 285,272,100/11,325
  6. Step 6: Final answer
    x = 25,189.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.