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Finding the Third Proportional to 23,740.25 and 50,658.63

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Solution

The third proportional to 23,740.25 and 50,658.63 is: 108,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,740.25 : 50,658.63 = 50,658.63 : x
  2. Step 2: Convert to fraction form
    23,740.25/50,658.63 = 50,658.63/x
  3. Step 3: Cross multiply
    23,740.25x = 50,658.63 × 50,658.63
  4. Step 4: Simplify right side
    23,740.25x = 2,566,296,286.89
  5. Step 5: Solve for x
    x = 2,566,296,286.89/23,740.25
  6. Step 6: Final answer
    x = 108,098.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.