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Finding the Third Proportional to 32,436 and 41,446

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Solution

The third proportional to 32,436 and 41,446 is: 52,958.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,436 : 41,446 = 41,446 : x
  2. Step 2: Convert to fraction form
    32,436/41,446 = 41,446/x
  3. Step 3: Cross multiply
    32,436x = 41,446 × 41,446
  4. Step 4: Simplify right side
    32,436x = 1,717,770,916
  5. Step 5: Solve for x
    x = 1,717,770,916/32,436
  6. Step 6: Final answer
    x = 52,958.78

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.