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Finding the Third Proportional to 11,454.75 and 23,640.75

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Solution

The third proportional to 11,454.75 and 23,640.75 is: 48,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.75 : 23,640.75 = 23,640.75 : x
  2. Step 2: Convert to fraction form
    11,454.75/23,640.75 = 23,640.75/x
  3. Step 3: Cross multiply
    11,454.75x = 23,640.75 × 23,640.75
  4. Step 4: Simplify right side
    11,454.75x = 558,885,060.56
  5. Step 5: Solve for x
    x = 558,885,060.56/11,454.75
  6. Step 6: Final answer
    x = 48,790.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.