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Finding the Third Proportional to 26,720 and 41,910

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Solution

The third proportional to 26,720 and 41,910 is: 65,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,720 : 41,910 = 41,910 : x
  2. Step 2: Convert to fraction form
    26,720/41,910 = 41,910/x
  3. Step 3: Cross multiply
    26,720x = 41,910 × 41,910
  4. Step 4: Simplify right side
    26,720x = 1,756,448,100
  5. Step 5: Solve for x
    x = 1,756,448,100/26,720
  6. Step 6: Final answer
    x = 65,735.33

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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.