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Finding the Third Proportional to 11,908.69 and 25,665.19

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Solution

The third proportional to 11,908.69 and 25,665.19 is: 55,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.69 : 25,665.19 = 25,665.19 : x
  2. Step 2: Convert to fraction form
    11,908.69/25,665.19 = 25,665.19/x
  3. Step 3: Cross multiply
    11,908.69x = 25,665.19 × 25,665.19
  4. Step 4: Simplify right side
    11,908.69x = 658,701,849.41
  5. Step 5: Solve for x
    x = 658,701,849.41/11,908.69
  6. Step 6: Final answer
    x = 55,312.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.