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Finding the Third Proportional to 11,434.50 and 17,819.25

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Solution

The third proportional to 11,434.50 and 17,819.25 is: 27,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.50 : 17,819.25 = 17,819.25 : x
  2. Step 2: Convert to fraction form
    11,434.50/17,819.25 = 17,819.25/x
  3. Step 3: Cross multiply
    11,434.50x = 17,819.25 × 17,819.25
  4. Step 4: Simplify right side
    11,434.50x = 317,525,670.56
  5. Step 5: Solve for x
    x = 317,525,670.56/11,434.50
  6. Step 6: Final answer
    x = 27,769.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.