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Finding the Third Proportional to 11,694.38 and 24,998.63

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Solution

The third proportional to 11,694.38 and 24,998.63 is: 53,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.38 : 24,998.63 = 24,998.63 : x
  2. Step 2: Convert to fraction form
    11,694.38/24,998.63 = 24,998.63/x
  3. Step 3: Cross multiply
    11,694.38x = 24,998.63 × 24,998.63
  4. Step 4: Simplify right side
    11,694.38x = 624,931,251.89
  5. Step 5: Solve for x
    x = 624,931,251.89/11,694.38
  6. Step 6: Final answer
    x = 53,438.62

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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.