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Finding the Third Proportional to 26,745 and 41,579

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Solution

The third proportional to 26,745 and 41,579 is: 64,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,745 : 41,579 = 41,579 : x
  2. Step 2: Convert to fraction form
    26,745/41,579 = 41,579/x
  3. Step 3: Cross multiply
    26,745x = 41,579 × 41,579
  4. Step 4: Simplify right side
    26,745x = 1,728,813,241
  5. Step 5: Solve for x
    x = 1,728,813,241/26,745
  6. Step 6: Final answer
    x = 64,640.61

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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.