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Finding the Third Proportional to 11,491.88 and 22,431.94

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Solution

The third proportional to 11,491.88 and 22,431.94 is: 43,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.88 : 22,431.94 = 22,431.94 : x
  2. Step 2: Convert to fraction form
    11,491.88/22,431.94 = 22,431.94/x
  3. Step 3: Cross multiply
    11,491.88x = 22,431.94 × 22,431.94
  4. Step 4: Simplify right side
    11,491.88x = 503,191,820.00
  5. Step 5: Solve for x
    x = 503,191,820.00/11,491.88
  6. Step 6: Final answer
    x = 43,786.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.