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Finding the Third Proportional to 26,717.75 and 41,693.56

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Solution

The third proportional to 26,717.75 and 41,693.56 is: 65,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,717.75 : 41,693.56 = 41,693.56 : x
  2. Step 2: Convert to fraction form
    26,717.75/41,693.56 = 41,693.56/x
  3. Step 3: Cross multiply
    26,717.75x = 41,693.56 × 41,693.56
  4. Step 4: Simplify right side
    26,717.75x = 1,738,353,153.94
  5. Step 5: Solve for x
    x = 1,738,353,153.94/26,717.75
  6. Step 6: Final answer
    x = 65,063.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.