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Finding the Third Proportional to 26,441 and 41,114

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Solution

The third proportional to 26,441 and 41,114 is: 63,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,441 : 41,114 = 41,114 : x
  2. Step 2: Convert to fraction form
    26,441/41,114 = 41,114/x
  3. Step 3: Cross multiply
    26,441x = 41,114 × 41,114
  4. Step 4: Simplify right side
    26,441x = 1,690,360,996
  5. Step 5: Solve for x
    x = 1,690,360,996/26,441
  6. Step 6: Final answer
    x = 63,929.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.