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Finding the Third Proportional to 11,834.86 and 25,663.08

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Solution

The third proportional to 11,834.86 and 25,663.08 is: 55,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.86 : 25,663.08 = 25,663.08 : x
  2. Step 2: Convert to fraction form
    11,834.86/25,663.08 = 25,663.08/x
  3. Step 3: Cross multiply
    11,834.86x = 25,663.08 × 25,663.08
  4. Step 4: Simplify right side
    11,834.86x = 658,593,578.85
  5. Step 5: Solve for x
    x = 658,593,578.85/11,834.86
  6. Step 6: Final answer
    x = 55,648.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.