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Finding the Third Proportional to 11,882 and 17,823

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Solution

The third proportional to 11,882 and 17,823 is: 26,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882 : 17,823 = 17,823 : x
  2. Step 2: Convert to fraction form
    11,882/17,823 = 17,823/x
  3. Step 3: Cross multiply
    11,882x = 17,823 × 17,823
  4. Step 4: Simplify right side
    11,882x = 317,659,329
  5. Step 5: Solve for x
    x = 317,659,329/11,882
  6. Step 6: Final answer
    x = 26,734.50

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Similar ratio
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1.5x scale

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.