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Finding the Third Proportional to 43,266 and 65,790

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Solution

The third proportional to 43,266 and 65,790 is: 100,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,266 : 65,790 = 65,790 : x
  2. Step 2: Convert to fraction form
    43,266/65,790 = 65,790/x
  3. Step 3: Cross multiply
    43,266x = 65,790 × 65,790
  4. Step 4: Simplify right side
    43,266x = 4,328,324,100
  5. Step 5: Solve for x
    x = 4,328,324,100/43,266
  6. Step 6: Final answer
    x = 100,039.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.