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Finding the Third Proportional to 5,484.94 and 11,834.44

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Solution

The third proportional to 5,484.94 and 11,834.44 is: 25,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.94 : 11,834.44 = 11,834.44 : x
  2. Step 2: Convert to fraction form
    5,484.94/11,834.44 = 11,834.44/x
  3. Step 3: Cross multiply
    5,484.94x = 11,834.44 × 11,834.44
  4. Step 4: Simplify right side
    5,484.94x = 140,053,910.94
  5. Step 5: Solve for x
    x = 140,053,910.94/5,484.94
  6. Step 6: Final answer
    x = 25,534.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.