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Finding the Third Proportional to 27,934.88 and 54,469.13

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Solution

The third proportional to 27,934.88 and 54,469.13 is: 106,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.88 : 54,469.13 = 54,469.13 : x
  2. Step 2: Convert to fraction form
    27,934.88/54,469.13 = 54,469.13/x
  3. Step 3: Cross multiply
    27,934.88x = 54,469.13 × 54,469.13
  4. Step 4: Simplify right side
    27,934.88x = 2,966,885,578.27
  5. Step 5: Solve for x
    x = 2,966,885,578.27/27,934.88
  6. Step 6: Final answer
    x = 106,207.23

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