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Finding the Third Proportional to 23,496.75 and 49,613.25

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Solution

The third proportional to 23,496.75 and 49,613.25 is: 104,758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.75 : 49,613.25 = 49,613.25 : x
  2. Step 2: Convert to fraction form
    23,496.75/49,613.25 = 49,613.25/x
  3. Step 3: Cross multiply
    23,496.75x = 49,613.25 × 49,613.25
  4. Step 4: Simplify right side
    23,496.75x = 2,461,474,575.56
  5. Step 5: Solve for x
    x = 2,461,474,575.56/23,496.75
  6. Step 6: Final answer
    x = 104,758.09

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.