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Finding the Third Proportional to 11,519.72 and 17,898.47

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Solution

The third proportional to 11,519.72 and 17,898.47 is: 27,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519.72 : 17,898.47 = 17,898.47 : x
  2. Step 2: Convert to fraction form
    11,519.72/17,898.47 = 17,898.47/x
  3. Step 3: Cross multiply
    11,519.72x = 17,898.47 × 17,898.47
  4. Step 4: Simplify right side
    11,519.72x = 320,355,183.59
  5. Step 5: Solve for x
    x = 320,355,183.59/11,519.72
  6. Step 6: Final answer
    x = 27,809.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.