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Finding the Third Proportional to 23,732.37 and 50,785.10

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Solution

The third proportional to 23,732.37 and 50,785.10 is: 108,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,732.37 : 50,785.10 = 50,785.10 : x
  2. Step 2: Convert to fraction form
    23,732.37/50,785.10 = 50,785.10/x
  3. Step 3: Cross multiply
    23,732.37x = 50,785.10 × 50,785.10
  4. Step 4: Simplify right side
    23,732.37x = 2,579,126,540.71
  5. Step 5: Solve for x
    x = 2,579,126,540.71/23,732.37
  6. Step 6: Final answer
    x = 108,675.49

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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.