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Finding the Third Proportional to 9,072.88 and 19,441.75

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Solution

The third proportional to 9,072.88 and 19,441.75 is: 41,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.88 : 19,441.75 = 19,441.75 : x
  2. Step 2: Convert to fraction form
    9,072.88/19,441.75 = 19,441.75/x
  3. Step 3: Cross multiply
    9,072.88x = 19,441.75 × 19,441.75
  4. Step 4: Simplify right side
    9,072.88x = 377,981,643.06
  5. Step 5: Solve for x
    x = 377,981,643.06/9,072.88
  6. Step 6: Final answer
    x = 41,660.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.