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Finding the Third Proportional to 23,524.88 and 50,322.38

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Solution

The third proportional to 23,524.88 and 50,322.38 is: 107,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524.88 : 50,322.38 = 50,322.38 : x
  2. Step 2: Convert to fraction form
    23,524.88/50,322.38 = 50,322.38/x
  3. Step 3: Cross multiply
    23,524.88x = 50,322.38 × 50,322.38
  4. Step 4: Simplify right side
    23,524.88x = 2,532,341,425.64
  5. Step 5: Solve for x
    x = 2,532,341,425.64/23,524.88
  6. Step 6: Final answer
    x = 107,645.27

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