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Finding the Third Proportional to 28,455.75 and 41,761

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Solution

The third proportional to 28,455.75 and 41,761 is: 61,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,455.75 : 41,761 = 41,761 : x
  2. Step 2: Convert to fraction form
    28,455.75/41,761 = 41,761/x
  3. Step 3: Cross multiply
    28,455.75x = 41,761 × 41,761
  4. Step 4: Simplify right side
    28,455.75x = 1,743,981,121
  5. Step 5: Solve for x
    x = 1,743,981,121/28,455.75
  6. Step 6: Final answer
    x = 61,287.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.