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Finding the Third Proportional to 11,280.94 and 17,524.69

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Solution

The third proportional to 11,280.94 and 17,524.69 is: 27,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.94 : 17,524.69 = 17,524.69 : x
  2. Step 2: Convert to fraction form
    11,280.94/17,524.69 = 17,524.69/x
  3. Step 3: Cross multiply
    11,280.94x = 17,524.69 × 17,524.69
  4. Step 4: Simplify right side
    11,280.94x = 307,114,671.97
  5. Step 5: Solve for x
    x = 307,114,671.97/11,280.94
  6. Step 6: Final answer
    x = 27,224.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.