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Finding the Third Proportional to 11,180 and 16,797

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Solution

The third proportional to 11,180 and 16,797 is: 25,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180 : 16,797 = 16,797 : x
  2. Step 2: Convert to fraction form
    11,180/16,797 = 16,797/x
  3. Step 3: Cross multiply
    11,180x = 16,797 × 16,797
  4. Step 4: Simplify right side
    11,180x = 282,139,209
  5. Step 5: Solve for x
    x = 282,139,209/11,180
  6. Step 6: Final answer
    x = 25,236.07

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Why These Related Problems?

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