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Finding the Third Proportional to 26,633 and 41,777

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Solution

The third proportional to 26,633 and 41,777 is: 65,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,633 : 41,777 = 41,777 : x
  2. Step 2: Convert to fraction form
    26,633/41,777 = 41,777/x
  3. Step 3: Cross multiply
    26,633x = 41,777 × 41,777
  4. Step 4: Simplify right side
    26,633x = 1,745,317,729
  5. Step 5: Solve for x
    x = 1,745,317,729/26,633
  6. Step 6: Final answer
    x = 65,532.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.