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Finding the Third Proportional to 11,961.84 and 17,572.78

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Solution

The third proportional to 11,961.84 and 17,572.78 is: 25,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.84 : 17,572.78 = 17,572.78 : x
  2. Step 2: Convert to fraction form
    11,961.84/17,572.78 = 17,572.78/x
  3. Step 3: Cross multiply
    11,961.84x = 17,572.78 × 17,572.78
  4. Step 4: Simplify right side
    11,961.84x = 308,802,640.86
  5. Step 5: Solve for x
    x = 308,802,640.86/11,961.84
  6. Step 6: Final answer
    x = 25,815.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.