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Finding the Third Proportional to 11,311.73 and 24,125.77

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Solution

The third proportional to 11,311.73 and 24,125.77 is: 51,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.73 : 24,125.77 = 24,125.77 : x
  2. Step 2: Convert to fraction form
    11,311.73/24,125.77 = 24,125.77/x
  3. Step 3: Cross multiply
    11,311.73x = 24,125.77 × 24,125.77
  4. Step 4: Simplify right side
    11,311.73x = 582,052,566.99
  5. Step 5: Solve for x
    x = 582,052,566.99/11,311.73
  6. Step 6: Final answer
    x = 51,455.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.