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Finding the Third Proportional to 11,491.88 and 17,022.66

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Solution

The third proportional to 11,491.88 and 17,022.66 is: 25,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.88 : 17,022.66 = 17,022.66 : x
  2. Step 2: Convert to fraction form
    11,491.88/17,022.66 = 17,022.66/x
  3. Step 3: Cross multiply
    11,491.88x = 17,022.66 × 17,022.66
  4. Step 4: Simplify right side
    11,491.88x = 289,770,825.81
  5. Step 5: Solve for x
    x = 289,770,825.81/11,491.88
  6. Step 6: Final answer
    x = 25,215.28

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.