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Finding the Third Proportional to 17,220.94 and 38,142.56

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Solution

The third proportional to 17,220.94 and 38,142.56 is: 84,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,220.94 : 38,142.56 = 38,142.56 : x
  2. Step 2: Convert to fraction form
    17,220.94/38,142.56 = 38,142.56/x
  3. Step 3: Cross multiply
    17,220.94x = 38,142.56 × 38,142.56
  4. Step 4: Simplify right side
    17,220.94x = 1,454,855,074.07
  5. Step 5: Solve for x
    x = 1,454,855,074.07/17,220.94
  6. Step 6: Final answer
    x = 84,481.76

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.