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Finding the Third Proportional to 11,491.03 and 17,749.13

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Solution

The third proportional to 11,491.03 and 17,749.13 is: 27,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.03 : 17,749.13 = 17,749.13 : x
  2. Step 2: Convert to fraction form
    11,491.03/17,749.13 = 17,749.13/x
  3. Step 3: Cross multiply
    11,491.03x = 17,749.13 × 17,749.13
  4. Step 4: Simplify right side
    11,491.03x = 315,031,438.27
  5. Step 5: Solve for x
    x = 315,031,438.27/11,491.03
  6. Step 6: Final answer
    x = 27,415.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.