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Finding the Third Proportional to 10,819.67 and 16,186.26

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Solution

The third proportional to 10,819.67 and 16,186.26 is: 24,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.67 : 16,186.26 = 16,186.26 : x
  2. Step 2: Convert to fraction form
    10,819.67/16,186.26 = 16,186.26/x
  3. Step 3: Cross multiply
    10,819.67x = 16,186.26 × 16,186.26
  4. Step 4: Simplify right side
    10,819.67x = 261,994,886.65
  5. Step 5: Solve for x
    x = 261,994,886.65/10,819.67
  6. Step 6: Final answer
    x = 24,214.68

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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.