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Finding the Third Proportional to 17,524.22 and 38,441.16

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Solution

The third proportional to 17,524.22 and 38,441.16 is: 84,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.22 : 38,441.16 = 38,441.16 : x
  2. Step 2: Convert to fraction form
    17,524.22/38,441.16 = 38,441.16/x
  3. Step 3: Cross multiply
    17,524.22x = 38,441.16 × 38,441.16
  4. Step 4: Simplify right side
    17,524.22x = 1,477,722,493.84
  5. Step 5: Solve for x
    x = 1,477,722,493.84/17,524.22
  6. Step 6: Final answer
    x = 84,324.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.