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Finding the Third Proportional to 23,424.82 and 49,463.79

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Solution

The third proportional to 23,424.82 and 49,463.79 is: 104,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424.82 : 49,463.79 = 49,463.79 : x
  2. Step 2: Convert to fraction form
    23,424.82/49,463.79 = 49,463.79/x
  3. Step 3: Cross multiply
    23,424.82x = 49,463.79 × 49,463.79
  4. Step 4: Simplify right side
    23,424.82x = 2,446,666,428.42
  5. Step 5: Solve for x
    x = 2,446,666,428.42/23,424.82
  6. Step 6: Final answer
    x = 104,447.61

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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.