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Finding the Third Proportional to 12,190.50 and 17,823

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Solution

The third proportional to 12,190.50 and 17,823 is: 26,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.50 : 17,823 = 17,823 : x
  2. Step 2: Convert to fraction form
    12,190.50/17,823 = 17,823/x
  3. Step 3: Cross multiply
    12,190.50x = 17,823 × 17,823
  4. Step 4: Simplify right side
    12,190.50x = 317,659,329
  5. Step 5: Solve for x
    x = 317,659,329/12,190.50
  6. Step 6: Final answer
    x = 26,057.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.