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Finding the Third Proportional to 43,204 and 61,782

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Solution

The third proportional to 43,204 and 61,782 is: 88,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,204 : 61,782 = 61,782 : x
  2. Step 2: Convert to fraction form
    43,204/61,782 = 61,782/x
  3. Step 3: Cross multiply
    43,204x = 61,782 × 61,782
  4. Step 4: Simplify right side
    43,204x = 3,817,015,524
  5. Step 5: Solve for x
    x = 3,817,015,524/43,204
  6. Step 6: Final answer
    x = 88,348.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.